Question

Solve for $x$ : $\frac{48}{x}=8$

• A. 6

Answer 1

The correct option is A 6
$\frac{48}{x}=8$
To undo the division of $x$, we multiply both side of the equation by $x$.
$\frac{48}{x}=8$
$\Rightarrow x\times \frac{48}{x}=x\times 8$
$\Rightarrow 48=8x$
$\Rightarrow 8x=48$

To undo the multiplication of $8$ in left hand side of equation, we divide both side of the equation by $8$.
$8x=48$
$\Rightarrow \frac{8\times x}{8}=\frac{48}{8}$
$\Rightarrow x=6$

To check the above result we substitute the value of $x$ in the original equation.
$\frac{48}{x}=8$
$\Rightarrow \frac{48}{6}=8$
$\Rightarrow 8=8$
$\Rightarrow \text{Left hand side}=\text{Right hand side}$

$\therefore$ The result is correct.