Question

solve for z.
\\(\frac{3}{5}(y - z) = x\\)
\\(z = \square\\)

Explanation:

Step1: Eliminate the fraction

Multiply both sides of the equation \(\frac{3}{5}(Y - Z)=X\) by \(\frac{5}{3}\) to get rid of the fraction.
\(\frac{5}{3}\times\frac{3}{5}(Y - Z)=\frac{5}{3}X\)
Simplifying the left - hand side, we have \(Y - Z=\frac{5}{3}X\)

Step2: Solve for Z

Subtract \(Y\) from both sides of the equation \(Y - Z=\frac{5}{3}X\):
\(-Z=\frac{5}{3}X - Y\)
Multiply both sides by \(- 1\) to isolate \(Z\):
\(Z = Y-\frac{5}{3}X\)

Answer:

\(Z = Y-\frac{5}{3}X\)