Question

solve for y.\\(
\frac{6}{11} = \frac{y}{3}\\)
\\(y = \square\\)

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion \(\frac{6}{11}=\frac{y}{3}\), we use the cross - multiplication property. Cross - multiplying gives us \(11\times y = 6\times3\).

Step2: Simplify and solve for y

First, calculate the right - hand side: \(6\times3 = 18\). So our equation becomes \(11y=18\). Then, to solve for \(y\), we divide both sides of the equation by 11. So \(y=\frac{18}{11}\).

Answer:

\(\frac{18}{11}\)