Given:
The given expression is, 4z + 5 = -3z -8.
The value of z is -13/7.
The objective is to verify the answer.
Explanation:
Substitute the value of z in the given expression,
[tex]\begin{gathered} 4(-\frac{13}{7})+5=-3(-\frac{13}{7})-8 \\ -\frac{52}{7}+5=\frac{39}{7}-8 \end{gathered}[/tex]To simplify the expression let's take LCM on both sides of the equation,
On left hand side, the LCM of 1 and 7 is 7.
Similalrly on right hand side, the LCM of 1 and 7 is 7.
Then, the expression can be solved as,
[tex]-\frac{52}{7}+5(\frac{7}{7})=\frac{39}{7}-8(\frac{7}{7})[/tex]On further solving the above equation,
[tex]\begin{gathered} -\frac{52}{7}+\frac{35}{7}=\frac{39}{7}-\frac{56}{7} \\ \frac{-52+35}{7}=\frac{39-56}{7} \\ \frac{-17}{7}=\frac{-17}{7} \end{gathered}[/tex]Hence, it is verified that the value of z is the correct answer.
