Question bank / Nonlinear equations in one variable and systems of equations in two variables

Math · Advanced MathEasy

What value of xx satisfies the equation 12x=32\frac{12}{x} = \frac{3}{2}?

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Answer: 8

Cross-multiply: 3x=243x = 24. Divide by 3: x=8x = 8. Check: 128=32\frac{12}{8} = \frac{3}{2}.

Multiplying 12⋅3212 \cdot \frac{3}{2} instead of dividing gives the incorrect value 18.

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