Question

1. \\(\frac{x}{5} = \frac{17}{9}\\)

Explanation:

Step1: Cross - multiply to solve for x

To solve the equation \(\frac{x}{5}=\frac{17}{9}\), we can use cross - multiplication. Cross - multiplication means that if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So for \(\frac{x}{5}=\frac{17}{9}\), we have \(x\times9=5\times17\).

Step2: Calculate the right - hand side

First, calculate \(5\times17 = 85\). So the equation becomes \(9x = 85\).

Step3: Solve for x

To find the value of \(x\), we divide both sides of the equation \(9x = 85\) by 9. So \(x=\frac{85}{9}\).

Answer:

\(x = \frac{85}{9}\)