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

Which Equation Is True When The Value Of X Is 12 class=

Sagot :

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

[tex]15-\frac{1}{2}x=21[/tex]

Solve for x

Subtract 12 from both sides

[tex]\begin{gathered} 15-15-\frac{1}{2}x=21-15 \\ -\frac{1}{2}x=6 \end{gathered}[/tex]

Multiply both sides by 2

[tex]\begin{gathered} 2\times-\frac{1}{2}x=2\times6 \\ -1x=12 \end{gathered}[/tex]

Divide both sides by -1

[tex]\begin{gathered} \frac{-1x}{-1}=\frac{12}{-1} \\ x=-12 \end{gathered}[/tex]

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

The correct option is Option B.

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