Answer: Hence, Option (6) and (8) are correct as their value is also "-8".
Step-by-step explanation:
Since we have given that
[tex]\frac{2}{3}(6x+12)=-24[/tex]
First we need to solve to get the value of 'x' :
[tex]\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[/tex]
Therefore, x=-8
Now, we will check all the options :
1) 4x+8=24
[tex]4x+8=24\\\\4x=24-8\\\\4x=16\\\\x=\frac{16}{4}=4[/tex]
2) 9x+18=-24
[tex]9x+18=-24\\\\9x=-24-18\\\\9x=-42\\\\x=-4.67[/tex]
3) 4x+12=-24
[tex]4x+12=-24\\\\4x=-24-12\\\\4x=-36\\\\x=\frac{-36}{4}=-9[/tex]
4) 18x+36/2=-24
[tex]18x+18=-24\\\\18x=-24-18\\\\18x=-42\\\\x=-2.34[/tex]
5) 4x=-36
[tex]x=\frac{-36}{4}=-9[/tex]
6) 4x=-32
[tex]x=\frac{-32}{4}=-8[/tex]
7) x=-9
8) x=-8
Hence, Option (6) and (8) are correct as their value is also "-8".
Answer:
It's a and e
Step-by-step explanation:
I took the test
