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Is z=-4 a solution to 3z = 4.5-z?yes or no

Is z=-4 a solution to 3z = 4.5-z?yes or no-example-1

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GIVEN

The equation is given:


3z=4.5-z

SOLUTION

To know if z = -4 is a solution, z = -4 is substituted into the equation. If a true statement is yielded, then it is a solution. Otherwise, it is not.

Substitute for z into the formula:


\begin{gathered} 3(-4)=4.5-(-4) \\ -12=8.5 \end{gathered}

This statement is false.

Therefore, z = -4 is not a solution.

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