Question

Solve each of the following equations and verify the answer in each case:
$\frac{x}{4}-8=1$

Answer 1

$\frac{x}{4}-8=1$
$\Rightarrow \frac{x}{4}-8+8=1+8$ [Adding 8 on both the sides]
$\Rightarrow \frac{x}{4}=9$
$\Rightarrow \frac{x}{4}\times 4=9\times 4$ [Multiplying both the sides by 4]
or, x = 36
Verification:
Substituting x = 36 in the L.H.S.:
or, $\frac{36}{4}-8$ = 9 − 8 = 1 = R.H.S.
L.H.S. = R.H.S.
Hence, verified.