Answer: 12e(et+OT)
Step-by-step explanation:
Answer:
12e(et+OT)Hope it helps <3
The distance Train A travels is represented by d = 68t, where d is the distance in kilometers and t is the time in hours. The distance Train B travels at various times is shown in the table. What is the unit rate of each train? Which train is going faster?
Time (hours) Distance (km)
2 150
4 300
5 375
Train A's unit rate is
km per hour.
Train B's unit rate is
km per hour.
Train
(select)
is faster.
Train A's unit rate is 68 km per hour.
Train B's unit rate is 75 km per hour.
The faster train is Train B.
Which train is faster?The unit rate of the trains is equal to the average speed of the trains. The unit rate is the total distance travelled by the train per time.
The unit rate can be determined by dividing the total distance travelled by the total time travelled. The train that is faster would have a higher unit rate per time.
Unit rate = total distance / total time
The unit rate for Train A is 68 kilometers per hour. This is because this is the total distance covered in 1 hour.
d = (68 x 1) = 68 km / hr
The unit rate for Train B = 150 / 2 = 75km / hr
Train B is faster because it covers more kilometers in one hour when compared with Train A.
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HELP! 20 POINTS!
A rectangular field is to be fenced off on three sides with the fourth side being the bank of a river. If the cost of the fence is $8 per foot for the two ends and $12 per foot for the side parallel to the river, what are the dimensions of the largest rectangle that can be enclosed with $3840 worth of fence?
Select one:
a. 120ft by 160ft
b. 240ft by 160ft
c. 120ft by 240ft
d. None of the above
Answer:
a
Step-by-step explanation:
Select the system of linear inequalities whose solution is graphed.
Answer:
Third choice
x < -2; y ≤ -x -2
Step-by-step explanation:
The dotted vertical line passing through x = 2 shows it is a < inequality corresponding to x < -2. If it were a ≤ inequality, then it would be a solid vertical line
That eliminates the first two choices. Second choice is x < -3 which is not correct because we can see that the shaded region includes everything below x = -2 not below x = -3. For example, x = -2.5 is in the shaded region
So we have to choose between the third and fourth choices. Note that the line equation for choice 3 is y = -x -2 and for choice 4 it is y = -x +2
Choose (x, y) = (-3, 0)
choice 3
y ≤ -x -2
Substitute x with -3 in -x + 2 giving
-(-3) -2 = 3 - 2 = 1
Point(-3,1) lies on the line and therefore does satisfy the second inequality
choice 4
y ≤ -x + 2
Substitute x with -3 giving
-x + 2 = -(-3) + 2 = 3 + 2 =5
But (-3, 5) is not on the line. In fact, it is outside the shaded region so it does not satisfy the second inequality
So the correct choice is the third choice
x < -2, y ≤ -x -2
What is the next number in the following series of numbers? 3, 6, 9, 15, 24, 39, __
Answer:
Step-by-step explanation:
its e223r252t23t22t.2t23t'23.t'2.t'2.t'2.t2't.23't.2't.32'.t2'.trfff i think
Find the inverse of f(x)=3x+1
The inverse of the given function f(x) = 3x + 1 is f⁻¹(x) = x/3 - 1/3.
What is the inverse of the given function function?Given the function in the question;
f(x) = 3x + 1
To determine the inverse of the function, write f(x) as y.
f(x) = 3x + 1
y = 3x + 1
Now, interchange the variable
x = 3y + 1
Solve for y by subtracting 1 from both sides
x = 3y + 1
x - 1 = 3y + 1 - 1
x - 1 = 3y
Reorder
3y = x - 1
Divide both term in the equation by 3
3y/3 = x/3 - 1/3
y = x/3 - 1/3
f⁻¹(x) = x/3 - 1/3
Therefore the inverse of the given function f(x) = 3x + 1 is f⁻¹(x) = x/3 - 1/3.
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The height of a triangle is 3 centimeters less than the base. The area of the triangle is 9
square centimeters. Find the length of the base and the height of the triangle.
The length of the base and height of the triangle as described in the task content are; 6cm and 3cm respectively.
What are the length of the base and height of the triangle?It follows from the task content that the Area of the triangle is; 9 cm².
Since, Area = (1/2)b × h. where h = (b-3).
Therefore we have;
9 = (1/2)b × (b-3)
18 = b² -3b
b² -3b -18 = 0.
On this note, by solving quadratically; we have; b = 6 or b = -3.
The base of the triangle is therefore 6 as it cannot be a negative measure.
Consequently, the height, h = (b-3) = 6-3 = 3.
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Please help I have tried to solve this problem for hours
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]\cfrac{3x+2y}{5}=1\implies 3x+2y=5\implies 2y=-3x+5 \\\\\\ y=\cfrac{-3x+5}{2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}} x+\cfrac{5}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so then, a perpendicular line to that will have a slope of
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-3}\implies \cfrac{2}{3}}}[/tex]
so we're really looking for the equation of a line whose slope is 2/3 and it passes through (-9 , -9)
[tex](\stackrel{x_1}{-9}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ \cfrac{2}{3}}(x-\stackrel{x_1}{(-9)}) \implies y +9= \cfrac{2}{3} (x +9) \\\\\\ y+9=\cfrac{2}{3}x+6\implies y=\cfrac{2}{3}x-3\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y)=3\left( \cfrac{2}{3}x-3 \right)}[/tex]
[tex]3y=2x-9\implies -2x+3y=-9\implies 2x-3y=9 \\\\\\ 2x-3y=(9)(1)\implies {\LARGE \begin{array}{llll} \cfrac{2x-3y}{9}=1 \end{array}}[/tex]
at a baseball game a vender sold a combined total of 141 sodas and hot dogs. the number of sodas was 51 more than the number of hotdogs sold. Find the number of sodas sold and the number of hot dogs sold
Can someone help with this question?✨
Answer:
[tex]y=700x+48000[/tex]
[tex]52,200[/tex]
Step-by-step explanation:
Generally for a linear equation you use the slope-intercept form: [tex]y=mx+b[/tex]
In this form, [tex]m=\text{slope},\ b=\text{y-intercept}[/tex]
The y-intercept is just when x=0, so it can be seen as a "starting point". in this case the initial population was 48,000 so we know that: [tex]b=48000[/tex]
The slope is just how much y-changes as x increases by one, and in this case our "x" will represent how many years it's been since 2003. So the slope will represent how much the population increases each year, and this is given in the word problem as 700 people each year.
So now we have the equation: [tex]y=700x+48000[/tex]
From 2003 to 2009, 6 years have passed meaning the population is the y-value when x=6: [tex]y=700(6)+48000\\y=52,200[/tex]
Solve 3x^2=-12x-15 using a quadratic equation with complex solutions
The complex solution of a quadratic equation are (- 2 + i ) and
(- 2 - i ).
What is Quadratic equation?
An algebraic equation of the second degree is called a quadratic equation.
Given that;
A quadratic equation is;
3x² = -12x - 15
Now, The equation is written as;
3x² + 12x + 15 = 0
Take 3 common, we get;
3 (x² + 4x + 5) = 0
x² + 4x + 5 = 0
Factorize the equation by using Sridharacharya Formula;
x = - 4 ± √4² - 4*1*5 / 2*1
x = -4 ± √16 - 20 / 2
x = - 4 ± √-4 / 2
Since, √-1 = i
x = -4 ± 2i / 2
x = - 2 ± i
It gives two values of x as;
x = - 2 + i
And, x = - 2 - i
Hence, The complex solution of a quadratic equation are (- 2 + i ) and
(- 2 - i ).
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5: 2.1 Modeling with Expressions rpreting Parts of an Expression 1. In the given expression 12x + 13y - 4z + 2, identify the following: . Terms: . Coefficients: 3. Sally identified the terms of the expressions 9a + 4b - 18 as 9a, 4b and 18. Explain her error. . What is the coefficient of b + 10. rpreting Algebraic Expressions in Conte: Its 1
The terms and coefficients of the expressions are found by taking the connectors as additions using the '+' symbol as follows;
A. 1. Terms; 12•x, 13•y, (-4•z), 2
2. Coefficients; 12, 13, -4, 2
B. The error is in not expressing the addition connecting the constant term.
C. The coefficient is 1
What are the parts of the expressions?A term in an expression are the parts of the expression that are connected together using addition or subtraction
A coefficient is the number multiplying a variable within a term of the expression
Therefore;
A. The expression 12•x + 13•y - 4•z + 2, can be written as follows;
12•x + 13•y - 4•z + 2 = 12•x + 13•y + (-4•z) + 2
The terms of the given expression 12•x + 13•y - 4•z + 2, which is the same as 12•x + 13•y + (-4•z) + 2, are therefore;
1. Terms; 12•x, 13•y, (-4•z), 2
The coefficients are;
2. Coefficients; 12, 13, -4, 2
B. The given expression is 9•a + 4•b - 18
Writing the subtractions as additions, to indicate the signs of the coefficient gives;
9•a + 4•b - 18 = 9•a + 4•b + (-18)
The terms are therefore; 9•a, 4•b, and (-18)
The error is in not including the addition sign before the constant.C. The expression, b + 10, has only one variable, which is b, the coefficient of the expression is therefore the coefficient of b, which is 1.
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is the ratio 63:90 equivalent to 9:15
No
Step-by-step explanation:Since ratios are simply proportions, they may be represented in multiple ways as long as the relationship remains equal.
Simplifying Ratios
There are 2 ways to check if these ratios are equivalent. The first is to simplify both ratios and see if they match each other. Firstly, find the greatest common factor (GCF) between the 2 numbers.
GCF of 63 and 90 = 9GCF of 9 and 15 = 3Then, divide each ratio by its GCF
63:90 = 7:109:15 = 3:5Since 7:10 is not equal to 3:5, we know that these ratios are not equal. It is important to note that this method only works when both ratios have been completely simplified.
Find the Relationship as a Decimal
Another to see if 2 ratios are equivalent is to see if their relationships are equal as decimals. To find the relationship of a ratio as a decimal, simply divide the 2 numbers within a ratio.
63 ÷ 90 = 0.79 ÷ 15 = 0.6Clearly, the ratios do not have equal relationships. Thus, the ratios are also not equivalent.
write a linear equation that models the cost y of picking x pounds of apples
Answer:
Step-by-step explanation:
y=0.75x+0.00
y=mx+b
Your slope is 0.75 because y=0.75
Your x is the number of times you multiply 0.75.
And there is no b so b=0 because the line would not go through the y line (vertical line)
So to conclude it would be y=0.75x+0
Sorry it took so long, if you are still confused please ask :)
The total payroll for a baseball team is 2.47 x 10^9 dollars, and the total payroll for a footbal team is 2.6x10^11 dollars how many more dollars is the football teams total payroll than the baseball teams total payroll?
1.3 x 10^11 dollars
2.5753 x 101^11dollars
2.5753 x 10^9dollars
0.13 x 10^9 dollars ANSWER ASAP for 50 points
The football team's total payroll is B. 2.5753 x [tex]10^{11}[/tex] dollars more than the baseball team's total payroll.
Option B is the correct answer.
We have,
To find how many more dollars the football team's total payroll is than the baseball team's total payroll, we need to subtract the baseball team's total payroll from the football team's total payroll.
Football team's total payroll = 2.6 x 10^11 dollars
Baseball team's total payroll = 2.47 x 10^9 dollars
Difference = Football team's total payroll - Baseball team's total payroll
Difference = [tex](2.6 \times 10^{11}) - (2.47 \times 10^9)[/tex]
To subtract these numbers, we need to make sure they have the same exponent:
2.47 x [tex]10^9[/tex] dollars = 0.247 x [tex]10^{10}[/tex] dollars
(move the decimal one place to the right)
Now, subtract:
Difference = (2.6 x [tex]10^{11}[/tex]) - (0.247 x [tex]10^{10}[/tex])
Difference = 2.5753 x [tex]10^{11}[/tex] dollars
Thus,
The football team's total payroll is B. 2.5753 x [tex]10^{11}[/tex] dollars more than the baseball team's total payroll.
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Which of the following values is the solution of 3m = 45
Answer:
m = 15
Step-by-step explanation:
Given equation,
→ 3m = 45
Solving for the value of m,
→ 3m = 45
→ m = 45/3
→ [ m = 15 ]
Hence, the value of m is 15.
Answer:
15
Step-by-step explanation:
3m=45 divide both sides by 3 and 45 by 3 is 15 thats the answer
A bowl contained 58.1 grams of salt.then,Jane poured in another 18.63 grams.how much slat does the bowl contain now?
Answer:
76.83
Step-by-step explanation:
its like 1 plus 1 equals 2 you add the amount of salt present beforehand in the bowl and the one you've added together the sum would equate to 76.73
given: ∠1 and ∠2 are vertical angles. prove: ∠1≅ ∠2
Answer:
See below
Step-by-step explanation:
After a 25%increase, the price is 300€.how many euros was the increase?
Answer:
the euro is 75 € ok......
75 euros increase
Step-by-step explanation:
25% 300 is 85
Solve for x: 5x + 2 = 4x − 9. (Wil mrk branliest) please i really need help
7
−7
11
−11
Answer:-11
Step-by-step explanation:
5x+2-2=4x-9-2
5x-+2-2=4x-9-2
5x=4x-9-2
5x=4x-9-2
5x=4x-11
5x=4x-11
5x-4x=4x-11-4x
5x-4x=4x-11-4x
1x=4x-11-4x
1x=4x=11-4x
x=4x-11=4x
x=4x-11-4x
x=-11
Answer:
-11
Step-by-step explanation:
Group
[tex]5x+2-4x=4x-9-4x\\5x-4x+2=4x-9-4x\\[/tex]
Simplify
[tex]1x+2=4x-9-4x\\x+2=4x-9-4x[/tex]
Group(Again)
[tex]x+2=4x-4x-9[/tex]
Simplify it
[tex]x+2=-9[/tex]
Group(Yet again)
[tex]x+2-2=-9-2[/tex]
Simplify(Final)
[tex]x=-9-2\\x=-11[/tex]
6. Mi mamá y yo, ayer fuimos al súper y
compramos
ponche de
siguientes artículos:
todo lo necesario para hacer el
navidad, y compramos los
Piloncillo 14 kg
Tejocote 1½ kg-
Manzana 2¾ kg
oldestqx3
Guayaba 0.75 kg
Ciruela 1.75 kg
Caña 2.40 kg
Canela ½ kg
Si mi mama se llevó el piloncillo y el tejocote,
¿cuantos kilos cargo en total?
13
They have to carry 15.5 kg.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Piloncillo 14 kg
Tejocote 1½ kg-
Apple 2¾ kg
oldestq 3
Guava 0.75 kg
Plum 1.75 kg
Cane 2.40 kg
Cinnamon ½ kg
So, if they take piloncillo and the tejocote
they carry,
=14 + 1 1/2
=14 + 3/2
=14 + 1.5
=15.5 Kg
Hence, they have to carry 15.5 kg.
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The complete and translated question is
My mom and I, yesterday we went to the supermarket and
we bought
punch
following items:
everything you need to make the
Christmas, and we bought the
Piloncillo 14 kg
Tejocote 1½ kg-
Apple 2¾ kg
oldestqx3
Guava 0.75 kg
Plum 1.75 kg
Cane 2.40 kg
Cinnamon ½ kg
If my mom took the piloncillo and the tejocote,
How many kilos did I carry in total?
13
What is the measure of angle ABC
Answer:
140°
Step-by-step explanation:
Angles ABC and CBD form a linear pair, and thus add to 180°.
The table shows the number of cups of water required when cooking different amounts of rice.
Amount of
Rice
(cups) Amount of
Water
(cups)
2 5
3 7.5
5 12.5
8 20
Which statements apply to the ratio of rice and water? Choose two options.
The amount of rice is the dependent value.
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or independent without a given equation.
The true statements are:
The amount of water is the dependent value.
The amount of rice is the independent value.
What are independent and dependent variables?The independent variable is the variable that is considered as given in the experiment. It is the value of the independent variable that determines the value of the dependent variable. The person carrying out an experiment changes or manipulates the independent variable to determine the value of the dependent variable.
The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable.
The independent variable is the amount of rice. This is because the amount of water needed to cook the rice depends on the amount of rice. This makes the amount of water the dependent variable.
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the slope of ac is midpoint of ab.if a (2,4) and b(6,24) then the slope of ac is ?
Based on the given parameters, the slope of the line AC is 5
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the slope of the line?The given parameters are
B is the midpoint of AC
A = (2, 4)
B = (6, 24)
Because the point B is the midpoint of AC, then the slope of AC is the slope of AB
The slope of AB is calcilated as
Slope = (y2 - y1)/(x2 - x1)
So, we have
Slope = (24 - 4)/(6 - 2)
Evaluate the quotient
Slope = 5
Hence, the slope of the line AC is 5
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Is a=-3 then what is 2a
Answer: -6
Step-by-step explanation:
Answer: 6
2 x3 =6
Step-4by-step explanation:
Who can resolve this derivative:
f (x) = x / x*4 -5
Answer:
Step-by-step explanation:
Functions used:
[tex]\displaystyle\\\boxed {(\frac{u}{v})'=\frac{u'v-v'u}{v^2} }\ \ \ \ \ \boxed {(u+v)'=u'+v'}\ \ \ \ \ \boxed {(x^n)'=n*x^{n-1}}[/tex]
[tex]\displaystyle\\f(x)=\frac{x}{x^4-5} \\\\f'(x)=(\frac{x}{x^4-5})'\\ f'(x)=\frac{x'(x^4-5)-(x^4-5)'x}{(x^4-5)^2} \\\\f'(x)=\frac{1(x^4-5)-((x^4)'-5')x}{(x^4-5)^2}\\\\f'(x)=\frac{x^4-5-(4x^3-0)x}{(x^4-5)^2} \\\\f'(x)=\frac{x^4-5-(4x^3)x}{(x^4-5)^2}\\\\f'(x)=\frac{x^4-5-4x^4}{(x^4-5)^2} \\\\f'({x)=\frac{-3x^4-5}{(x^4-5)^2} \\\\[/tex]
[tex]\displaystyle\\f'(x)=\frac{-(3x^4+5)}{(x^4-5)^2} \\\\f'(x)=-\frac{3x^4+5}{(x^4-5)^2}[/tex]
Rita has scored 81, 58, and 95 on her previous three tests. What score does she need on her next test so that her average (mean) is 82?
Answer:
94
Step-by-step explanation:
Let the score she needs be x. Then,
[tex]\frac{81+58+95+x}{4}=82 \\ \\ 234+x=328 \\ \\ x=94[/tex]
In the figure below, angle B is a right angle, m∠BAC=30°, and the length of AC=12. If CD=5, find the length of AD.
The length of AD is option e √229.
Given,
ΔABD and C is a point between B and D. A and C makes a line and there forms another triangle, ΔABC.
∠B is a right angle = 90°
m ∠BAC = 30°
Length of AC = 12
Length of CD = 5
We have to find the length of AD.
First we can consider ΔABC.
Total interior angle of a triangle is 180°
We have given, ∠A as 30° and ∠B 90°.
Then ∠C = 180° - (∠A + ∠B) = 180 - (30 + 90) = 180 - 120 = 60
∠ACB = 60°
Trigonometric Function
Sin θ = (opposite side / hypotenuse)
We can find length of BC using trigonometric function.
In ΔABC,
For sin 30°, AC is the hypotenuse and BC is the opposite side.
So,
Sin 30° = (opposite side / hypotenuse)
Sin 30° = (BC/12)
BC = Sin 30° × 12
BC = 1/2 × 12
BC = 6
Now, we have to find the length of side AB.
For sin 60°, AB is the opposite side and AC is the hypotenuse.
So,
Sin 60° = (opposite side/hypotenuse)
Sin 60° = (AB/12)
AB = Sin 60° × 12
AB = √3/2 × 12
AB = 6√3
Now we can consider ΔABD.
In ΔABD, ∠B is 90°
Length of side AB = 6√3
Length of side BD = BC + CD = 6 + 5 = 11
Now, we can find the length of side AD using pythegorean theorem.
Hypotenuse = [tex]\sqrt{altitude^{2} +base^{2} }[/tex]
Here, AD is the hypotenuse, AB is the altitude and BD is the base.
So,
AD = [tex]\sqrt{AB^{2} +BD^{2} }[/tex]
AD = [tex]\sqrt{(6\sqrt{3} )^{2} +11^{2} }[/tex]
AD = [tex]\sqrt{36(3) + 121}[/tex]
AD = [tex]\sqrt{108+121}[/tex]
AD = √229
That is, the length of side AD is √229.
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Find an equation in standard form of the parabola passing through the points below.
(1,9), (2,4), (4, -30)
The equation of the parabola is y = ??
The equation of the parabola is : y = -6x² + 13x + 2
The general equation for parabola is -
y = ax² + bx + c. We will keep the values of x and y in this equation, to find the coefficients. Once we get the coefficients, again this equation will be used to find the equation of parabola based on given points.
For the point (1, 9)
9 = a(1)² + b(1) + c
9 = a + b + c : equation 1
For the point (2, 4)
4 = a(2)² + b(2) + c
4 = 4a + 2b + c : equation 2
For the point (4, -30)
-30 = a(4)² + b(4) + c
-30 = 16a + 4b + c : equation 3
Subtract equation 2 from equation 1
9 = a + b + c
-4 = 4a + 2b + c
We get: 5 = -3a -b
Rearranging the equation: 3a + b = -5 : equation 4
Subtraction equation 2 from equation 3
-30 = 16a + 4b + c
-4 = 4a + 2b + c
We get: -34 = 12a + 2b : equation 5
Multiplying equation with 2
6a + 2b = -10 : equation 6
Subtract equation 6 from equation 5
12a + 2b = -34
-6a + 2b = -10
6a = -24
a = -6
Keep value a in equation 6 to find the value of b
6(-6) + 2b = -10
-36 + 2b = -10
2b = 36 - 10
2b = 26
b = 13
Keep the value of a and b in equation 1 to find the value of c
-6 + 13 + c = 9
c = 9 - 7
c = 2
Keeping all the coefficients in general equation to find the equation of parabola -
y = -6x² + 13x + 2
Hence, the equation of parabola is : y = -6x² + 13x + 2
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You may remember that the perimeter of a rectangle is P = 2(W+ L) where W is the width and L is the length.
Suppose that the perimeter of a rectangle is 56 feet, and the length is 4 feet more than the width. Find the width of the
rectangle, in feet.
Answer:
12
Step-by-step explanation:
If the perimeter is 56, then 2(W+L) = 56.
If the length is 4 more than the width, then we can write the length as
Width+4 = L or W+4=L
Now, we can plug this back into the equation of 2(W+L)= 56
2(W+(W+4)) = 56
2(2w+4) = 56
4w+8=56
Minus 8 on both sides of the equation
4w = 48
divide both sides by 4
w = 12
solve the following system of equations. 1/x-1/3y=-12. -4/5x+7y=-1/5
The value of
x = 1/9
y = 1/63
We have given two equations :
1/x - 1/3y = -12 ... eq. (1)
- 4/5x + 7y = -1/5 ... eq. (2)
First we will multiply the 1st equation by 4/5,
We get, 4/5x - 4/15y = -48/5 ... eq. (3)
Now, we will add the equation 3 and equation 2
4/5x - 4/15y = -48/5
- 4/5x + 7y = -1/5
____________________
7y - 4/15y = -49/5
(105y - 4)/15y = -49/5
105y - 4 = (-49/5) × 15y
105y - 4 = -49 × 3y = -147y
105y + 147y = 4
y = 4/252
y = 1/63
We get the value of y which is 1/63,
Now, we will solve the eq. 1 by putting is equal to 1/63.
1/x - 1/3y = -12
1/x - (1 × 63/3 × 1) = -12
1/x -21 = -12
1/x = 21 - 12 = 9
x = 1/9
Hence, we get the value of x and y as 1/9 and 1/63 respectively.
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