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zhenek [66]
3 years ago
9

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
Mathematics
2 answers:
Neko [114]3 years ago
5 0

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

Step-by-step explanation:

Since we have given that

\frac{2}{3}(6x+12)=-24

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

\frac{2}{3}(6x+12)=-24\\\\6x+12=\frac{3}{2}\times (-24)\\\\6x+12=3\times (-12)\\\\6x+12=-36\\\\6x=-36-12\\\\6x=-48\\\\x=\frac{-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=\frac{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=\frac{-36}{4}=-9

4) 18x+36/2=-24

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

5) 4x=-36

x=\frac{-36}{4}=-9

6) 4x=-32

x=\frac{-32}{4}=-8

7) x=-9

8) x=-8

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

Viktor [21]3 years ago
5 0
A) 4x + 8 = -24
F) 4x = -32
H) x = -8

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