Question

question
solve for x.
\\(\frac{5}{3} = \frac{10}{x}\\)
answer attempt 1 out of 2
x = blank submit answer

Explanation:

Step1: Cross - multiply the equation

Given the equation \(\frac{5}{3}=\frac{10}{x}\), 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 \(5\times x=3\times10\).

Step2: Simplify and solve for \(x\)

Simplify the right - hand side of the equation: \(5x = 30\).
To solve for \(x\), divide both sides of the equation by 5. So, \(x=\frac{30}{5}\).

Answer:

\(x = 6\)