Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question solve for x. \\(\\frac{3}{4} = \\frac{x}{12}\\) answer attempt…

Question

question
solve for x.
\\(\frac{3}{4} = \frac{x}{12}\\)
answer attempt 1 out of 2
x = input box submit answer

Explanation:

Step1: Cross - multiply the equation

To solve for \(x\) in the equation \(\frac{3}{4}=\frac{x}{12}\), 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 our equation, we have \(3\times12 = 4\times x\).
\(3\times12 = 36\) and \(4\times x=4x\), so the equation becomes \(36 = 4x\).

Step2: Solve for \(x\)

To isolate \(x\), we divide both sides of the equation \(36 = 4x\) by 4.
\(x=\frac{36}{4}\)
\(\frac{36}{4}=9\)

Answer:

\(x = 9\)