WAEC 2022 · Paper 1 · Q17

Linear & simultaneous equations

Find the value of $x$ such that $\frac1x + \frac{4}{3x} - \frac{5}{6x} + 1 = 0$ .

Worked solution (try it first)

The LCM of the denominators $x$ , $3x$ and $6x$ is $6x$ .
Multiply every term by $6x$ , including the 1: $6 + 8 - 5 + 6x = 0$ .
Collect the numbers: $9 + 6x = 0$ , so $6x = -9$ .
Divide by 6: $x = -\frac96 = -\frac32$ , option C.

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