Question

Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-9 8. x=-8

Answer 1

It's a and e

Explanation:

I took the test

Answer 2

Answer: Hence, Option (6) and (8) are correct as their value is also "-8".

Explanation:

Since we have given that

`(2)/(3)(6x+12)=-24`

First we need to solve to get the value of 'x' :

`(2)/(3)(6x+12)=-24\\\\6x+12=(3)/(2)* (-24)\\\\6x+12=3* (-12)\\\\6x+12=-36\\\\6x=-36-12\\\\6x=-48\\\\x=(-48)/(6)\\\\x=-8`

Therefore, x=-8

Now, we will check all the options :

1) 4x+8=24

`4x+8=24\\\\4x=24-8\\\\4x=16\\\\x=(16)/(4)=4`

2) 9x+18=-24

`9x+18=-24\\\\9x=-24-18\\\\9x=-42\\\\x=-4.67`

3) 4x+12=-24

`4x+12=-24\\\\4x=-24-12\\\\4x=-36\\\\x=(-36)/(4)=-9`

4) 18x+36/2=-24

`18x+18=-24\\\\18x=-24-18\\\\18x=-42\\\\x=-2.34`

5) 4x=-36

`x=(-36)/(4)=-9`

6) 4x=-32

`x=(-32)/(4)=-8`

7) x=-9

8) x=-8

Hence, Option (6) and (8) are correct as their value is also "-8".