Question

solve for y.
\\(\frac{3}{9} = \frac{y}{12}\\)
simplify your answer as much as possible.
\\(y = \square\\)

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion $\frac{3}{9}=\frac{y}{12}$, we use the cross - multiplication property of proportions. If $\frac{a}{b}=\frac{c}{d}$, then $a\times d = b\times c$. So, we have $3\times12=9\times y$.
Calculating the left - hand side, $3\times12 = 36$. So the equation becomes $36 = 9y$.

Step2: Solve for y

To isolate $y$, we divide both sides of the equation $36 = 9y$ by 9. That is, $y=\frac{36}{9}$.
Simplifying $\frac{36}{9}$, we get $y = 4$.

Answer:

$y = 4$