Respuesta :

GIVEN

The equation is given:

[tex]3z=4.5-z[/tex]

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:

[tex]\begin{gathered} 3(-4)=4.5-(-4) \\ -12=8.5 \end{gathered}[/tex]

This statement is false.

Therefore, z = -4 is not a solution.