Value of [tex]z[/tex] for the given equation [tex]\frac{1}{3}z = \frac{-5}{6}+ \frac{1}{6}z[/tex] is equal to [tex]-5[/tex] .
What is equation?
" Equation is defined as the relation between the variables or the numbers using the sign of equality."
According to the question,
Given equation,
[tex]\frac{1}{3}z = \frac{-5}{6}+ \frac{1}{6}z[/tex]
Simplify the given equation to get the value of [tex]'z'[/tex] ,
[tex]\frac{1}{3}z = \frac{-5}{6}+ \frac{1}{6}z\\\\\implies \frac{1}{6}z-\frac{1}{3}z = \frac{5}{6}\\ \\\implies (\frac{1-2}{6})z= \frac{5}{6}\\\\\implies \frac{-1}{6}z= \frac{5}{6}\\\\\\\implies z = -5[/tex]
Hence, Option(D) is the correct answer.
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