Question

solve for c.
\frac{3}{4}(b - c) = a

Explanation:

Step1: Eliminate the fraction

Multiply both sides of the equation $\frac{3}{4}(B - C)=A$ by $\frac{4}{3}$ to get rid of the fraction on the left side.
$$\frac{4}{3}\times\frac{3}{4}(B - C)=\frac{4}{3}A$$
Simplifying the left side, we have $B - C=\frac{4}{3}A$.

Step2: Solve for C

Subtract $B$ from both sides:
$$-C=\frac{4}{3}A - B$$
Multiply both sides by - 1 to isolate $C$:
$$C = B-\frac{4}{3}A$$

Answer:

$C = B-\frac{4}{3}A$