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 on the left side.
$$\frac{5}{3}\times\frac{3}{5}(Y - Z)=\frac{5}{3}X$$
Simplifying the left side, we have $Y - Z=\frac{5}{3}X$.

Step2: Solve for Z

Subtract $Y$ from both sides and then multiply by -1 to isolate $Z$.
First, subtract $Y$: $-Z=\frac{5}{3}X - Y$.
Then multiply both sides by -1: $Z = Y-\frac{5}{3}X$.

Answer:

$Z = Y-\frac{5}{3}X$