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WAEC Mathematics 2012 Paper

Question : 8

Total: 49

\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}

Solution:

Concept:

Combine the fractions on the left side into a single fraction, then solve for

x

Explanation:

Start with the equation:

\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}

Use the common denominator

3x

for the left side:

\frac{3}{3x} + \frac{2}{3x} = \frac{5}{3x}

So the equation becomes:

\frac{5}{3x} = \frac{1}{3}

Cross multiply:

5 \times 3 = 1 \times 3x

15 = 3x

Divide both sides by

3

x = \frac{15}{3} = 5

Answer:

x = 5

, which is option A.

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