Question

Mark (✓) against the correct answer

If $5x-\frac{3}{4}=2x-\frac{2}{3},$ then x = ?

(a) $\frac{1}{12}$
(b) $\frac{1}{4}$
(c) 36
(d) $\frac{1}{36}$

Answer 1

$\begin{array}{l}\left(\text{d}\right)\frac{1}{36}\\ \text{We have:}\\ 5x-\frac{3}{4}=2x-\frac{2}{3}\\ \Rightarrow 5x-2x=\frac{-2}{3}+\frac{3}{4}\\ \Rightarrow 3x=\frac{-8+9}{12}\\ \Rightarrow x=\frac{1}{12\times 3}\\ \Rightarrow x=\frac{1}{36}\end{array}$