Answer:
The answer's 15 x + 30 y - 220
Step-by-step explanation:
I did the quiz and got it correct :)
Hello,
Question:
Keisha solved the following equation:
4x − 2x + 8 = 6(x + 4)
Which step has an incorrect justification? (Make sure to type only the number of the step into the blank: 1, 2, 3, 4 or 5)
Correct Solution:
x − 2x + 8 = 6(x + 4)
4x + −2x + 8 = (6) (x) + (6) (4) (Distribute)
4x + −2x + 8 = 6x + 24
(4x + −2x) + (8) = 6x + 24 (Combine Like Terms)
2x + 8 = 6x + 24
2x + 8 = 6x + 24
Subtract 6x from both sides.
2x + 8 − 6x = 6x + 24 − 6x
−4x + 8 = 24
Subtract 8 from both sides.
−4x + 8 − 8 = 24 − 8
−4x = 16
-4 x -4 = 16
x = -4
Answer:
Where keisha went wrong was forgeting to subtract 6x to both sides.
Incorrrect step is #3
Answer:
D
Step-by-step explanation:
Because they are opposite of each other
Answer:
![(5,2)](https://tex.z-dn.net/?f=%285%2C2%29)
Step-by-step explanation:
![2x-2y=6\\4x+4y=28](https://tex.z-dn.net/?f=2x-2y%3D6%5C%5C4x%2B4y%3D28)
Column 1 :
![2x-2y=6..........(1)\\4x+4y=28........(2)](https://tex.z-dn.net/?f=2x-2y%3D6..........%281%29%5C%5C4x%2B4y%3D28........%282%29)
Column 2 :
Eqn(1) ![\times\ 2](https://tex.z-dn.net/?f=%5Ctimes%5C%202)
![4x-4y=12\\4x+4y=28](https://tex.z-dn.net/?f=4x-4y%3D12%5C%5C4x%2B4y%3D28)
Column 3 :
Add the equations.
![(4x+4x)-4y+4y=12+28\\8x=40](https://tex.z-dn.net/?f=%284x%2B4x%29-4y%2B4y%3D12%2B28%5C%5C8x%3D40)
<u>Fourth column : </u>
![8x=40\\x=\frac{40}{8}=5](https://tex.z-dn.net/?f=8x%3D40%5C%5Cx%3D%5Cfrac%7B40%7D%7B8%7D%3D5)
<u>Fift column :</u>
![4x+4y=28\\8x=40](https://tex.z-dn.net/?f=4x%2B4y%3D28%5C%5C8x%3D40)
<u>Six</u><u>t</u><u>h column :</u>
Substitute
.
![4\times 5+4y=28\\4y=28-20\\4y=8\\y=2](https://tex.z-dn.net/?f=4%5Ctimes%205%2B4y%3D28%5C%5C4y%3D28-20%5C%5C4y%3D8%5C%5Cy%3D2)
Hence solution is
.