Question

solve for v.
4 = \frac{v + 8}{3}

Explanation:

Step1: Cross - multiply to eliminate the fraction

To solve the equation \(4=\frac{v + 8}{3}\), we can cross - multiply. Multiply both sides of the equation by 3. The left - hand side becomes \(4\times3\) and the right - hand side becomes \(\frac{v + 8}{3}\times3\).

$$4\times3=\frac{v + 8}{3}\times3$$

$$12=v + 8$$

Step2: Isolate the variable \(v\)

Subtract 8 from both sides of the equation \(12=v + 8\) to solve for \(v\).

$$12-8=v+8 - 8$$

$$4=v$$

Answer:

\(v = 4\)