Question

solve for y: \\(\frac{8}{12} = \frac{y}{9}\\) (make sure to start your answer with y=.) (make sure you use the correct uppercase and lower case letters)

Explanation:

Step1: Cross - multiply the equation

Given the equation \(\frac{8}{12}=\frac{y}{9}\), cross - multiplying (which is based on the property of proportions: if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\)) gives us \(8\times9 = 12\times y\).
So, \(72 = 12y\).

Step2: Solve for y

To isolate \(y\), we divide both sides of the equation \(72 = 12y\) by 12.
\(y=\frac{72}{12}\).
Simplifying \(\frac{72}{12}\), we know that \(72\div12 = 6\).

Answer:

\(y = 6\)