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12. solve: $\frac{x}{5} = \frac{7}{9}$

Question

  1. solve: $\frac{x}{5} = \frac{7}{9}$

Explanation:

Step1: Cross - multiply to solve for x

To solve the equation \(\frac{x}{5}=\frac{7}{9}\), we can use cross - multiplication. Cross - multiplying gives us \(9\times x = 5\times7\).

Step2: Simplify the equation

Simplifying the right - hand side of the equation \(9x = 35\). Then, to isolate \(x\), we divide both sides of the equation by 9. So, \(x=\frac{35}{9}\).

Answer:

\(x = \frac{35}{9}\)