Question

solve for v.
\\(\frac{2}{3} = \frac{v + 7}{18}\\)
simplify your answer as much as possible.
\\(v = \square\\)

Explanation:

Step1: Cross - multiply to eliminate fractions

To solve the equation $\frac{2}{3}=\frac{v + 7}{18}$, we cross - multiply. Cross - multiplying gives us $2\times18=3\times(v + 7)$.
Calculating the left - hand side: $2\times18 = 36$. So the equation becomes $36=3\times(v + 7)$.

Step2: Divide both sides by 3

Divide both sides of the equation $36 = 3\times(v + 7)$ by 3. We get $\frac{36}{3}=\frac{3\times(v + 7)}{3}$.
Simplifying both sides: $12=v + 7$.

Step3: Subtract 7 from both sides

Subtract 7 from both sides of the equation $12=v + 7$. We have $12-7=v+7 - 7$.
Simplifying both sides: $5 = v$.

Answer:

$v = 5$