Value of \(z\) for the given equation \(\frac{1}{3}z = \frac{-5}{6}+ \frac{1}{6}z\) is equal to \(-5\) .
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,
\(\frac{1}{3}z = \frac{-5}{6}+ \frac{1}{6}z\)
Simplify the given equation to get the value of \('z'\) ,
\(\frac{1}{3}z = \frac{-5}{6}+ \frac{1}{6}z\\\\\implies \frac{1}{6}z-\frac{1}{3}z = \frac{5}{6}\\ \\\implies (\frac{1-2}{6})z= \frac{5}{6}\\\\\implies \frac{-1}{6}z= \frac{5}{6}\\\\\\\implies z = -5\)
Hence, Option(D) is the correct answer.
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