Solve the system using elimination,
2x - 3y = - 19
7x + 7y = 21

Answers

Answer 1

Answer:

x = -2

y = 5

Step-by-step explanation:

2x - 3y = -19  ---------------------------(I)

7x+ 7y = 21  -----------------------------(II)

Multiply equation (I) by 7 and equation (II) by 3.Then add and so y will be eliminated and you will get the value of x

(I)*7              14x - 21y = - 133

(II)* 3           21x + 21y = 63          {Now add}

                   35x          = -70

                                x = -70/35

x = - 2

Plug in x = - 2 in equation (I)

2*(-2) - 3y = -19

-4 -  3y  = -19

     -3y = -19 + 4

     -3y = -15

         y = -15/-3

y = 5


Related Questions

Today there is a 90% chance of rain, a 30% chance of thunderstorms, and a 25% chance of rain and thunderstorms together.
Are the two events "rain today" and "thunderstorms today" independent events?

Since (0.9)×(0.3) is -BLANK- 0.25, then the two events -BLANK- independent.
BLANK 1: Greater Than, Less Than, Equal To.

BLANK 2: Are, Are Not.

Answers

Answer:

less than, are not

Step-by-step explanation:

n/a

Answer:

Greater than, are not

Step-by-step explanation:

(GIVING BRAINLIEST!!)

Which future U.S. president wrote the document that acted as the model for the U.S. Constitution?

A) George Washington
B) James Madison
C) John Adams
D) Thomas Jefferson

Answers

Answer: B) James Madison

Step-by-step explanation:

It’s B) James Madison

What is the tenth term of the sequence described by the following f1 = -2, tn =3tn-1

Answers

Answer:

The 10th term will be:

t₁₀ = 39366

Step-by-step explanation:

Given the sequence

tₙ = -3 tₙ₋₁

Given

t₁ = -2

substitute n = 2, to determine the 2nd term

tₙ = -3 tₙ₋₁

t₂ = -3 tₙ₋₁

t₂ = -3 t₂₋₁

t₂ = -3 t₁

t₂ = -3 × -2        ∵ t₁ = -2

t₂ = 6

substitute n = 3, to determine the 3rd term

tₙ = -3 tₙ₋₁

t₃ = -3 t₃₋₁

t₃ = -3 t₂

t₃ = -3 × 6        ∵ t₂ = 6

t₃ = -18

substitute n = 4, to determine the 4th term

tₙ = -3 tₙ₋₁

t₄ = -3 t₄₋₁

t₄ = -3 t₃

t₄ = -3 × -18       ∵ t₃ = -18

t₄ = 54

substitute n = 5, to determine the 5th term

tₙ = -3 tₙ₋₁

t₅ = -3 t₅₋₁

t₅ = -3 t₄

t₅ = -3 × 54      ∵ t₄ = 54

t₅ = -162

substitute n = 6, to determine the 6th term

tₙ = -3 tₙ₋₁

t₆ = -3 t₆₋₁

t₆ = -3 t₅

t₆ = -3 × -162      ∵ t₅ = -162

t₆ = 486

substitute n = 7, to determine the 7th term

tₙ = -3 tₙ₋₁

t₇ = -3 t₇₋₁

t₇ = -3 t₆  

t₇ = -3 × 486      ∵ t₆ = 486

t₇ = -1458

substitute n = 8, to determine the 8th term

tₙ = -3 tₙ₋₁

t₈ = -3 t₈₋₁

t₈ = -3 t₇  

t₈ = -3 ×  -1458      ∵ t₇ = -1458

t₈ = 4374

substitute n = 9, to determine the 9th term

tₙ = -3 tₙ₋₁

t₉ = -3 t₉₋₁

t₉ = -3 t₈  

t₉ = -3 ×  4374      ∵ t₈ = 4374

t₉ = -13122

substitute n = 10, to determine the 10th term

tₙ = -3 tₙ₋₁

t₁₀ = -3 t₁₀₋₁

t₁₀ = -3 t₉  

t₁₀ = -3 × -13122     ∵ t₉ = -13122

t₁₀ = 39366

Therefore, the 10th term will be:

t₁₀ = 39366



Find the perimeter of the figure if the following
is true:
a = x2
b = 4x + 8
C= 2x2
d = x

Answers

Answer:

3x^2+5x+8

Step-by-step explanation:

the perimeter is the sum of the sides

p=a+b+c+d

p=x^2+4x+8+2x^2+x

p=3x^2+5x+8

A farmer knows that a crop she is growing requires 24 kg of fertilizer throughout the season. She has a measuring flask which when filled twice makes 1 kg of fertilizer. At this rate, how many times does she need to fill the flask to make the required amount of fertilizer for the crop?

Answers

Answer:

48 times

Step-by-step explanation:

From the above question, we know that:

2 times = 1 kg of fertilizer

A crop requires 24 kg of fertilizer

Hence:

1 kg of fertilizer = 2 times

24 kg of fertilizer = x

Cross Multiply

x = 24 kg × 2 times/1 kg

x = 48 times

She need to fill the flask 48 times to make the required amount of fertilizer for the crop

the length of a model ship is 8 in. its actual length is 100 ft. what is the scale of the model?​

Answers

Answer:

= 2/25 2 in 25 ft

Step-by-step explanation:

What is 12x-3+2x+13 equivalent to

Answers

Answer:

2(7x+5)

Step-by-step explanation:

Answer:

14x+10

Step-by-step explanation:

12x-3+2x+13

12x+2x+10

14x+10

The two lines y = 4x+5 and y = 4x – 2 are parallel because their slopes are equal (both equal to 4). What
happens when you try to algebraically solve for their intersection point?

Answers

Answer:

When solving, you will get a false statement, and therefore there is no solution.

Step-by-step explanation:

Let's try to solve the system of equations. In this case, I used the substitution method and substituted 4x + 5 for the y in y = 4x-2:

[tex]4x + 5 = 4x - 2\\5 = -2[/tex]

In trying to combine the terms with the variable x, the 4x on both sides canceled themselves out, leaving me with 5 = -2. That is a false statement, as 5 does not equal -2. Therefore, since we cannot reach a solution, there is none.

two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no  intersection point.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given wo lines are y = 4x+5 and y = 4x – 2

These two lines are parallel because there slope is 4 for both.

Let us solve these two equations algebraically to find out intersection point.

4x+5=4x-2

5=-2

Since 4x is cancelled on both sides and has no x variable means there is no intersection point.

Hence for two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no  intersection point.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Please give me the correct answer ​

Answers

Answer:

We notice about these areas that:

All areas are perfect squares 1st

The sum of the areas of the two smaller squares is equal to the area of the larger square 3rd

Step-by-step explanation:

Let us solve the question

The perfect square number is the product of a number and itself

∵ The areas of given squares are 25 m², 9 m², and 16 m²

∵ 25 = 5 × 5, 9 = 3 × 3, 16 = 4 × 4

25, 9, and 16 are perfect squares

All areas are perfect squares

∵ 9 m² and 16 m² are the areas of the two smaller squares

∵ 9 m² + 16 m² = 25 m²

∵ The area of the larger square is 25 m²

The sum of the areas of the two smaller squares is equal to the area

   of the larger square

Solve for y.
10/9 =5y

Answers

Answer:

y = 2/9

Step-by-step explanation:

5. Each dimensional analysis problem has taken you 1.5 minutes to complete. How many dimensional analysis problems could you complete in 6 weeks of Chemistry class?

Answers

Step-by-step explanation:

So we're trying to get from minutes to weeks.  The time intervals in question are:

Minutes -> Hours -> Days -> Weeks

So we set up our dimensional analysis.  We're solving for amount of problems, so that goes in the numerator of the first fraction:

[tex]\frac{1problem}{1.5min}[/tex]

Now we want to know how many minutes in an hour, so we multiply by the next fraction:

[tex]\frac{1problem}{1.5min} * \frac{60min}{1hr}[/tex]

After that, we want to know how many hours in a day:

[tex]\frac{1problem}{1.5min} * \frac{60min}{1hr} * \frac{24hr}{1d}[/tex]

and how many days in one week:

[tex]\frac{1problem}{1.5min} * \frac{60min}{1hr} * \frac{24hr}{1d} * \frac{7d}{1w}[/tex]

To solve the dimensional analysis problem, we multiply across the top of the entire expression, then divide across the bottom.  So:

1 * 60 * 24 * 7 = 10,080

And then divide that by the bottom:

10,080 / 1.5 / 1 / 1 / 1 = 6,720

So you can solve 6,720 problems in one week.  Multiply that by six and we get your answer:

40,320 dimensional analysis problems can be completed in 6 weeks of Chemistry class.

The measure of an ____ angle of a tringle is equal to the sum of the measures of its remote interior angles

Answers

Answer:

Exterior.

Step-by-step explanation:

A triangle has three sides. According to the theorem of exterior angles, the sum of two opposite interior angles is equal to the exterior angle of the triangle.

The sum of angle of triangle is equal to 180 degrees.

ATQ,

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

helphelphelphelphelphelphelphelphelphelp

Answers

Answer:

u=-6

Step-by-step explanation:

Answer: u = -6

Step-by-step explanation:

first, we move the terms.

5u - 9u = 30 - 6

then, i collected the like terms and calculated them.

-4u = 24

then, i simply divided both sides.

u = -6

An oatmeal container has a diameter of 9 inches and a volume of 239.4 in3. What is the lateral surface area of the oatmeal container? Hint: You have to use the Volume to find the height before you can calculate the lateral surface area. Round your answer to the nearest tenth.

Answers

Answer:

Lateral surface area = 106.4 [tex]in^{2}[/tex].

Step-by-step explanation:

Assumed that the oatmeal container has the shape of a cylinder. Its lateral surface area can be determined by:

lateral surface area = 2[tex]\pi[/tex]rh

But,

volume = [tex]\pi[/tex][tex]r^{2}[/tex]h

where: r is the radius, and h is the height.

From the question, volume = 239.4 [tex]in^{3}[/tex], and diameter = 9 inches, then;

radius = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{9}{2}[/tex]

          = 4.5

radius = 4.5 inches

Thus,

volume = [tex]\pi[/tex][tex]r^{2}[/tex]h

239.4 = [tex]\pi[/tex]x [tex](4.5)^{2}[/tex] x h

          = 20.25[tex]\pi[/tex]h

h = [tex]\frac{239.4}{20.25\pi }[/tex]

  = [tex]\frac{11.8222}{\pi }[/tex]

h = [tex]\frac{11.8222}{\pi }[/tex] inches

Therefore,

lateral surface area = 2[tex]\pi[/tex]rh

                                = 2[tex]\pi[/tex](4.5)([tex]\frac{11.8222}{\pi }[/tex])

                                = 2 x 4.5 x 11.8222

                                = 106.3998

Lateral surface area of the oatmeal container is 106.4 [tex]in^{2}[/tex].

Ali and Bruno both run the 400 meter dash for their track team. Their coach frequently records their finishing times (in seconds), which are summarized in the table below.
Mean Standard deviation
Ali \mu_A=59μ
A

=59mu, start subscript, A, end subscript, equals, 59 \sigma_A=4.8σ
A

=4.8sigma, start subscript, A, end subscript, equals, 4, point, 8
Bruno \mu_B=50μ
B

=50mu, start subscript, B, end subscript, equals, 50 \sigma_B=3.6σ
B

=3.6sigma, start subscript, B, end subscript, equals, 3, point, 6
Both distributions are approximately normal. Suppose we choose a random 400 meter race and calculate the difference between their times. It's reasonable to assume that their times are independent.
Find the probability that the Ali's finishing time is faster than Bruno's.
You may round your answer to two decimal places.
P\left(\text{Ali faster}\right)\approx

Answers

Answer:

.07

Step-by-step explanation:

A circle has a diameter of 3 meters. Which statement about the circumference and area is true?
A.) A comparison of the area and circumference is not possible since the area cannot be determined.
B.) The numerical value of the circumference and area are equal.
C.) The numerical value of the circumference is greater than the numerical value of the area.
D.) The numerical value of the circumference is less than the numerical value of the area.
Test is on edge 2020

Answers

Answer:

C

Step-by-step explanation:

circumference is pi times diameter

pi times 3 is 9.42

area is pi times radius squared

radius is 1.5

1.5^2 is 2.25

pi times 2.25 is 7.06

A stock has a beta of 1.30, the expected return on the market is 10 percent, and the risk-free rate is 4.6 percent. What must the expected return on this stock be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)

Answers

Answer:

11.62%

Step-by-step explanation:

Calculation for What must the expected return on this stock be

Using this formula

Expected return=Risk-free rate+(Expected market return -Risk-free rate)*Beta

Let plug in the formula

Expected return=4.6%+(10%-4.6%)*1.30

Expected return=4.6%+(5.4%*1.30)

Expected return=0.046+0.0702

Expected return=0.1162*100

Expected return=11.62%

Therefore What must the expected return on this stock is 11.62%

Leaving work, Duncan drove at 30 mph for 20 minutes. Then he drove at 40 mph for 12 minutes to reach home. How far did he drive to get home?

Answers

So first, we're gonna split these into their own little sections.

If Duncan drove 30 mph for 20 minutes, we need to think about the time for now. One hour is 60 minutes, and 20 minutes is 1/3 of an hour. If it's 30 miles per hour, then we'd need to split that into thirds to give it the twenty minute value, so in twenty minutes he drove 10 miles.

For the second part, we're gonna do the same thing. 40 mph in twelve minutes. 60 divided by 12 is 5. Then split the 40 mph into fifths. 40 / 5 = 8. Every twelve minutes, he drove 8 miles.

Add 10 and 8, and he drove a total of 18 miles to get home.

Can someone help on a) please! Its due soon :(

Answers

Step-by-step explanation:

9.94 => 10 (1s.f.)

29.7 => 30 (1s.f.)

Hence we estimate the value of 9.94² * 29.7

as 10² * 30 = 3,000.

Answer:

Well the estimate answer could be 293.54291

Step-by-step explanation:

But the real answer is 293.54292

Hope this helped :)

Translate this phrase into an algebraic expression.
10 more than twice Goran's height
Use the variable g to represent Goran's height.

Answers

2g+10

twice the height is 2g, then add 10

Answer:

2g + 10

Step-by-step explanation:

what is the measure of angle X?

•100 degrees
•130 degrees
•135 degrees
•150 degrees
picture added. y

Answers

the answer is 130 degrees
180-50=130
The angle that equal 130 is alternate interior angles with x which makes the congruent
So angle x is 130°

Answer:

130°

Step-by-step explanation:

Angle 50° underneath is the same as the missing angle next to x.

In a straight line , angles add up 180°. So 180°-50° gives 130°

I hope this helped you out.

Please can I have brainliest, thank my answer and rate it 5. :)

Select all of the following equations the number 30 will make true.
A. 270 ÷ □ = 9
B. 1,200 ÷ □ = 400
C. 9,000 ÷ □ = 300
D. 600 ÷ □ = 200
E. 330 ÷ □ = 110
PLZ SOMEONE help me btw this is for my lil aunt she really needs help plz help me so i can help her :(

Answers

A and C because I used a Calculator

Select all number that are prime PLZ HELP

Answers

Answer:

A. 29 Is the prime number.

hOpe it is helpful :)

An airplane flies with a constant speed of 700 miles per hour. How far can it travel in 2 hours?

Answers

Answer:

1400

Step-by-step explanation:

700 x 2 is 1400

So just multiply 700 times 2 and there's your answer

Answer:

1400 miles

Step-by-step explanation:

1 hour------ 700 miles

2 hours---- X

X= 700 x 2

X= 1400

Callies family spends an average of $70 per month electric at that rate what can that family expect to pay electric for 1 year

Answers

Answer:

$840

Step-by-step explanation:

Callies family spends an average of $70 per month electric. At that rate what can that family expect to pay electric for 1 year

Note that:

1 year = 12 months.

Hence, if:

1 month = $70

12 months = $x

Cross Multiply

$x = 12 × $70

$x = $840

Therefore, the amount that family can expect to pay in 1 year(12 month) for electric = $840

*
0
1
3
4
1
2
3.
4
4
ER
ole
8
5 6
Table 1
9
1 4
Table 2
16
Identify the table that represents a linear function.
x
H
0
1
3
4.
x
1
2
3
4
f(x)
0
-1
0
2
18
32
f)
8
15
0 3
Table 4
Table 3

Answers

Answer:

• The closing of the frontier• The closing of the frontier

Step-by-step explanation:

• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier

What is the y-value of the solution to the system of
equations: y = x - 6 and y = -4 ? Just write the number for
your answer.

Answers

Answer:

x=2

Step-by-step explanation:

-4 = x-6

-4+6 = 2

x=2

CHECK:

2-6 = -4

Perform the following calculation using the appropriate significant figure rules. 29.5 x 0.0340 + 29.5 x 0.0340 = ?

Answers

the answer should be 2.006

What is the answer for X?

Answers

Answer: I think it’s 14

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Alright so those to angles are complemntary meaning that when they are added together it will equal 90. So first you wanna set up an equation which would be 90 = 40+6x+2. Then you combine like terms and end up with 90=42+6x. Next you wanna subtract each side by 42 and now you have 48=6x. finally you divide each side by 6 and get x = 8

Find the area of rectangle ABCD.
20
10 √2+ √82
24
12

Answers

Answer:

12 units²

Step-by-step explanation:

AB = [tex]\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }[/tex] = [tex]\sqrt{(0-3)^2 +(0-3)^2}[/tex] = 3√2

BC = [tex]\sqrt{(5-3)^2 +(1-3)^2}[/tex] = 2√2

[tex]A_{ABCD}[/tex] = AB × BC = 3√2 × 2√2 = 12 units²

Answer:

So I did the assignment, and the answer that you're looking for in this problem would be 12.

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