Question

solve for x,
\\(\frac{30}{x} = \frac{3}{2}\\)
answer attempt 1 out of 2
\\(x = \square\\) submit answer

Explanation:

Step1: Cross - multiply the equation

Given the equation \(\frac{30}{x}=\frac{3}{2}\), 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 \(3\times x=30\times2\).

Step2: Simplify the right - hand side

Simplify the right - hand side of the equation \(3x = 30\times2\). We know that \(30\times2 = 60\), so the equation becomes \(3x=60\).

Step3: Solve for \(x\)

To solve for \(x\), divide both sides of the equation \(3x = 60\) by 3. That is \(x=\frac{60}{3}\).

Step4: Calculate the value of \(x\)

\(\frac{60}{3}=20\).

Answer:

\(x = 20\)