Question

Solve: $\frac{7x}{2}$ - $\frac{5x}{2}$ = $\frac{20x}{3}$ + $10$
(2 marks)

Answer 1

Rearrange the equation:
$\frac{7x}{2}$ - $\frac{5x}{2}$ - $\frac{20x}{3}$ = $10$

Taking LCM (2, 3) = 6

⇒ $\frac{21x-15x-40x}{6}$ = $10$
⇒ $\frac{-34x}{6}$ = $10$
(1 mark)

By cross multiplying
⇒ $-34x=60$
⇒ $x$ = $\frac{60}{-34}$
⇒ $x$ = $\frac{-30}{17}$
(1 mark)