Question

Which equation is true when the value of x is -12

Answer 1

We are told to check for the correct equation that satisfies when the value of x = -12.

Let us resolve that by picking one of the options and testing it to confirm if it satisfies the value of x = -12.

Starting with OPTION B

`15-(1)/(2)x=21`

Solve for x

Subtract 12 from both sides

`\begin{gathered} 15-15-(1)/(2)x=21-15 \\ -(1)/(2)x=6 \end{gathered}`

Multiply both sides by 2

`\begin{gathered} 2*-(1)/(2)x=2*6 \\ -1x=12 \end{gathered}`

Divide both sides by -1

`\begin{gathered} (-1x)/(-1)=(12)/(-1) \\ x=-12 \end{gathered}`

From the solution, we can conclude that the above equation is true when the value of x = -12.

The correct option is Option B.