Question

f the following.
b. \\(\frac{5}{6} = \frac{-30}{x}\\)

Explanation:

Step1: Cross - multiply the equation

Given the equation \(\frac{5}{6}=\frac{- 30}{x}\), 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 \(5\times x = 6\times(-30)\).

Step2: Solve for \(x\)

Calculate the right - hand side: \(6\times(-30)=-180\). So the equation becomes \(5x=-180\). Then, divide both sides of the equation by 5. \(x=\frac{-180}{5}=- 36\).

Answer:

\(x = - 36\)