Question

solve for v.
\\(\frac{v - 3}{3} = \frac{5}{4}\\)
simplify your answer as much as

Explanation:

Step1: Cross - multiply to eliminate fractions

To solve the equation \(\frac{v - 3}{3}=\frac{5}{4}\), we can cross - multiply. Cross - multiplying gives us \(4(v - 3)=3\times5\).

Step2: Expand the left - hand side

Expand \(4(v - 3)\) using the distributive property \(a(b - c)=ab - ac\). Here, \(a = 4\), \(b=v\) and \(c = 3\), so \(4(v - 3)=4v-12\). The equation becomes \(4v - 12=15\).

Step3: Solve for \(v\)

Add 12 to both sides of the equation: \(4v-12 + 12=15 + 12\), which simplifies to \(4v=27\). Then divide both sides by 4: \(v=\frac{27}{4}\).

Answer:

\(\frac{27}{4}\)