Question
Solve for \( x \) \[ 14=\frac{2}{3} x \] Simplify your answer as much as possible. \( x=\square \)
Ask by Rodriquez Barrett. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x=21 \)
Solution
Solve the equation \( 14=\frac{2}{3}x \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(14=\frac{2}{3}x\)
- step1: Swap the sides:
\(\frac{2}{3}x=14\)
- step2: Multiply by the reciprocal:
\(\frac{2}{3}x\times \frac{3}{2}=14\times \frac{3}{2}\)
- step3: Multiply:
\(x=21\)
The solution to the equation \(14=\frac{2}{3}x\) is \(x=21\).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve for \( x \), we start with the equation: \[ 14 = \frac{2}{3} x \] To isolate \( x \), we can multiply both sides of the equation by the reciprocal of \( \frac{2}{3} \), which is \( \frac{3}{2} \): \[ 14 \times \frac{3}{2} = x \] Calculating the left side: \[ x = 14 \times \frac{3}{2} = 14 \times 1.5 = 21 \] So, the solution is: \( x = 21 \)
