given a-2b=8, 4a+3b= 21; prove b= -1
please give a step by step answer
Answers
let me know if you have any questions
For the system of the equation given we have proven that b = -1.
Given that,
a - 2b = 8
4a + 3b = 21
To prove b= -1
The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
a - 2b = 8 - - - - - - - (1)
4a + 3b= 21 - - - -- - - (2)
From equation 1
a = 8 + 2b
put a in equation 2
4 (8 + 2b) + 3b = 21
32 + 8b + 3b = 21
11b = 21 - 32
11b = -11
b = -1
Hence proved.
Thus, for the system of the equation given, we have proven that b = -1.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ2
Related Questions
Does the graph represent a function?
A yes
B no
Answers
Answer: no
Step-by-step explanation: because it intercepts the y-axis more than once
Here is the net of a rectangular prism. There area of each face is provided. What is the surface
area of the prism? Explain how you solved this.
Click to add text
A=27 cm
A=
15 cm
A=45 cm2
A=
115 cm
A=27 cm
A = 45 cm
Answers
Answer:
The surface area is 174 cm^2
Step-by-step explanation:
Since we have the area of each of the faces, to get the total area, we will need to add up the areas of all these faces
Thus, we have that;
A = 45 + 27 + 45 + 15 + 15 + 27
A = 174 cm^2
whats 2x3= PLEASE HELP
Answers
Answer:
Hiya!! Love ur pfp and the answer is 6
Step-by-step explanation:
Something called math... I think lol
Answer:
6
Step-by-step explanation:
If you add 2+2, you get 4. If you add 4+2, you get 6. Multiplying 2x3 is basically doing 2+2+2, or 3+3.
Draw a line with a slope of -1/2 going through the point (4,5) already graphed for you. At what point does this line cross the y-axis?
Answers
Answer: What is the slope of this line? It's the 'm' term in y=mx+b. In this example, m=1. Therefore the slope of the line is 1, or said another way, the line goes "up" one unit every time it goes "over" one unit.
What is the y-intercept of the line? That's the 'b' term, so it's also 1. That means that when x is 0, y=1. Go ahead and plug x=0 into that equation to verify for yourself.
Step-by-step explanation:
Answer: 7
Equation: y= -1/2x + 7
Step-by-step explanation:
A slope of -1/2 means every x-value you go up by, the y-value goes down by 1/2.
To find an y-intercept you have to go back 4 x-values. So then you need to go up four 1/2 y-values. (simply 2 y-values).
A system of linear equations is given as x + 3y = 36 and 4x + 5y = 9. Which of the following is a possible first step when solving by substitution? *
1 point
Rewrite the first equation as x = 36 – 3y.
Rewrite the first equation as y = 1/3x + 12.
Rewrite the second equation as x = 9 – 5/4y .
Rewrite the second equation as y = 9 + 4x.
Answers
Answer:
Rewrite the first equation as x = 36 – 3y.
Step-by-step explanation:
x + 3y = 36 (1)
4x + 5y = 9 (2)
Using substitution method
From (1)
x = 36 - 3y
Substitute x = 36 - 3y into (2)
4x + 5y = 9
4(36 - 3y) + 5y = 9
144 - 12y + 5y = 9
- 12y + 5y = 9 - 144
-7y = -135
y = -135 / -7
y = 19.3
There is an error with the second equation, 4x + 5y can not be equal to 9
Nevertheless, the first step when solving by substitution is:
Rewrite the first equation as
x = 36 – 3y.
A pedestrian bridge used as an outdoor market is divided into an eastbound and westbound
side. On each side, there is a 16-foot-wide lane dedicated to foot traffic, a 10-foot-wide lane for
browsing and purchasing, and a 9-foot-wide row of wooden vendor stalls. How many total feet
wide is the pedestrian bridge?
b. 40
C. 51
d. 70
e. 85
Answers
Answer:
The answer is D, 70
Write an inequality to represent, "x is at least 30"
Answers
Answer:
x ≥ 30
Step-by-step explanation:
The "≥" sign means greater than or equal to. So the equation reads, "x is greater than or equal to 30."
Tammy has a ten dollar bill. She purchases an unknown number of magazines for $3.00 each and gets $4.00 change back. Which equation represents this?
a) 10 – 3x = 4
b) 6 – 3x = 10
c) 2 + 3x = 10
d) 4 – 3x = 10
Answers
Answer:
its A
Step-by-step explanation:
Answer:
a
have a good day give thanks and brainliest plz
Find X, BA, AC, and BC of isosceles triangle BAC.
BA= 2x-5; AC = 3x -9;
BC = X-2
Answers
Answer:
BA = 3
AC = 3
BC = 2
x = 4
Step-by-step explanation:
Find x
BA and CA are equal Given
2x - 5 = 3x - 9
Subtract 2x from both sides
- 5 = 3x - 2x - 9
- 5 = x - 9
Add 9 to both sides.
- 5 + 9 = x - 9 + 9
4 = x
=========================
BA = 2x - 5
BA = 2*4 - 5
BA = 3
AC = 3x - 9
AC = 3*4 - 9
AC = 12 - 9
AC = 3
BC = x - 2
BC = 4 - 2
BC = 2
Summary
BA = 3AC = 3BC = 2x = 4Please help it due ASAP
Show workings!
Answers
Step-by-step explanation:
I really want to help but for me the picture is blurry
Answer:
108
Step-by-step explanation:
Opposite sides of parallelogram ABWC are equal.
Since point C bisects VW, VC=CW
And 3x+1=CW and CW=1/2 of VW
So:
2(3x+1)=7x-3
6x+2=7x-3
x=5
Then VW=7(5)-3=32
32+24+52=108
Instructions: Find the measurement of the diagonal indicated in the following parallelogram.
Help!!
Answers
Answer:
VX = 24
Step-by-step explanation:
Given :
VJ = 12 units
To find :
VX = ?
Solution:
Since, diagonal of a parallelogram bisect each other.
By this property,
m(VX) = 2[(VJ)]
m(VX) = 2(12)
= 24 units
Therefore, measure of the diagonal (VX) of the given parallelogram is 24 units.
What is the value of 7(4 + x) when x = 5?
Answers
Step-by-step explanation:
❉ [tex] \underline{ \underline{ \sf{Given}}} : [/tex]
x = 5❉ [tex] \underline{ \underline{ \sf{To \: find}}} : [/tex]
value of 7 ( 4 + x )Plug the value of x and simplify :
⟿ [tex] \sf{7(4 + 5)}[/tex]
Add the numbers : 4 and 5
⟿ [tex] \sf{7 \times 9}[/tex]
Multiply 7 by 9
⟿ [tex] \boxed{ \sf{63}}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{⇾Our \: final \: answer : 63}}}}[/tex]
Hope I helped ! ♪
Have a wonderful day / night ! ツ
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The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph Which of the following best describes the motion of the car shown? (15 points)
A) It travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours. B)It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
C)It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.
D)It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
Answers
Answer: It travelled at a steady speed for 2 hours then stopped for 1 hour and then it went at a steady speed for 2 hours making the journey in total 6 hours
Step-by-step explanation:
PLEASE IF I DON GET THIS RIGHT I WILL HAVE TO REDO MATH PLEASE HELP
Answers
Answer:
x= 8 and y= 8 square root of 2
Step-by-step explanation:
What is the value of x?
Answers
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The triangle is equilateral, so each side is equal to the others:
5x = 3x +6
2x = 6 . . . . . . . subtract 3x
x = 3 . . . . . . . . divide by 2
Corbins car payment is $289. This is $37 les than 1/3 of his monthly income. What is corbins monthly income
Answers
Which of the following fractions is closest to 1?
a. 10/11 b. 2/3 c. 5/12 d. 7/8
Answers
Answer:
A. 10/11
Step-by-step explanation:
(I just know) Have a Beautiful day.
Answer:the answer is A
To get the answer, just divide the answers to see if you will get a number closer to one
Step-by-step explanation:
For a company picnic, Todd fills 30 paper cups with ketchup and Yuki fills 27 paper cups with ketchup. Each paper cup holds 1 ounce. Later, Todd and Yuki learn that two other company employees completed exactly the same task. Question 1 Part A Write a numerical expression to find how many ounces of ketchup the four employees prepared.
Answers
Step-by-step explanation:
Todd fills 30 paper cups with ketchup and Yuki fills 27 paper cups with ketchup.
Each paper cup holds 1 ounce
Todd = 30 * 1 = 30 ounces
Yuki = 27 * 1 = 27 ounces
Total ounces = 30 + 27
Later, Todd and Yuki learn that two other company employees completed exactly the same task.
Total ounces = 2 (30 + 27)
Answer:2(30+27)
Step-by-step explanation:
the other company is doing the same thing so you multiply by 2
and we have 30 and 27 so we use those numbers to make
2(30+27)
2x57
114
A snowboarder leaves an 8-foot tall ramp with an upward velocity of 28 feet per second. The function h =− 16t 8t gives the height h (in 2 + 2 + 8 feet) of the snowboarder after t seconds. When does the snowboarder hit the ground?
Answers
Answer:
2 seconds
Step-by-step explanation:
Given that:
h = -16t² + 28t + 8
Using quadratic formula:
[tex]\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
where;
a = -16
b = +28
c = +8
[tex]= \dfrac{-(28) \pm \sqrt{(28)^2 - 4(-16)(8)}}{2(-16)}[/tex]
[tex]= \dfrac{-(28) \pm \sqrt{784+512}} {-32}[/tex]
[tex]= \dfrac{-(28) + \sqrt{784+512}} {-32} \ \ OR \ \ = \dfrac{-(28) - \sqrt{784+512}} {-32}[/tex]
[tex]=- \dfrac{1}{4} \ \ OR \ \ 2[/tex]
Since we are considering the positive value; Then it will take the snowboarder 2 seconds before it hits the ground.
-9 ft.
Find the surface
area of the
composite figure
shown.
15 ft.
square feet
15 ft.
(Include the base of
the green cube in your
calculation.)
15 ft.
HELP
Answers
Answer:
Step-by-step explanation:
We need to find 5 sides of the cube and 4 sides of the pyramid.
For the cube, each side's area is [tex]s^{2}[/tex] with s being the side length. Since there are 5 sides, it would be 5 x [tex]s^{2}[/tex]. s=15, so it would be 5 x 15 x 15, which is 75 x 15 which simplifies into 1125.
For the pyramid, we need to find the area of all 4 triangles. They are all the same triangle, each with a base of 15 and a height of 9. So one triangle's area is 9 x 15/2 = 67.5 --> Since there are 4 triangles, the area of all of them would be 67.5 x 4 which is 270.
1125 + 270 = 1395 cubic ft. (or [tex]ft^{3}[/tex])
if p=4,q=_3,and r=then find the value of p3+q3_r3_ 3pqr
Answers
Answer: The value of the given expression = 101
Step-by-step explanation:
Given: p=4,q=-3,and r=2
To find the value of expression [tex]p^3+q^3-r^3-3pqr[/tex].
Substitute all values p=4,q=-3,and r=2 in the expression, we get
[tex]4^3+(-3)^3-(2)^3-3(4)(-3)(2)\\\\=64-27-8+72\\\\=101[/tex]
Hence, the value of the given expression = 101
I need help Please......
Answers
Answer:
the answer its b.
Step-by-step explanation:
hope this helps
What is 178/4 as a mixed number
Answers
Answer:
44 1/2
Step-by-step explanation:
178 divided by 4 equals 44.5
Convert the decimal to a fraction and you have your answer.
Answer:
44 1/2
Step-by-step explanation:
178 / 4 = 44 1/2
Someone help plz!! I will give Brainlist!
Answers
Answer: -3
mark me brainiest very easy answer
Given the relation of points, (7,-1),(3,5),(0,-4),(-2,-2), which of the following sets represents the RANGE of the relation? Choose only one. *
1 point
{-2,0,3,7}
{-4,-2,-1,5}
{-1,3,5,7}
{-2,-4,0
Answers
Hope this helps
Have a great day/night
so basically if you would like to help me find squidward, thanks:) oh, and solve that thingy too:)
Answers
Answer:
it is C
Step-by-step explanation:
A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. If (x , y ) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square
Answers
Answer:
its 20x20
Step-by-step explanation:
ty for point also i did the test
Answer: I just did the test so the answer would be (20x,20y)
Step-by-step explanation: hoped this help thx for the points :D
heeeeelp plezzzzzzzzzzzzz
Answers
quack quack quack (I'll help as best as I can...)
EHEM
I believe the answers are B and D
quack quack quack.. (hopefully this helps..)
plz help me Which expression is equivalent to 24 + 64? (5 points)
a 8(3 + 64)
b 8(16 + 56)
c 8(3 + 8)
d 8(16 + 64)
Answers
An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $170 and the lower-priced speaker dock sells for $90. Last week the store sold four times as many lower-priced speaker docks as higher-priced speaker docks. Combined sales totaled $4,770. How many lower-priced speaker docks did it sell?
Answers
Answer:
9
Step-by-step explanation:
Let us represent
Low priced = x
High priced = y
An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $170 and the lower-priced speaker dock sells for $90. Combined sales totaled $4,770.
170x + 90y = $4770
Last week the store sold four times as many lower-priced speaker docks as higher-priced speaker docks.
4x = y
Substitute 4x for y
170x + 90y = $4770
170x + 90(4x) = $4770
170x + 360x = $4770
530x = $4770
x = 4770/530
x = 9
The number of lower-priced speaker docks it sold was 9