Question

Solve the following equation:

If $14y-8=13$ and $y=\frac{3}{q}$, then $q$ is

• A. $3$
• B. $1$
• C. $2$
• D. $7$

Answer 1

The correct option is C $2$

Let $14y-8=13$ .... (1)

and $y=\frac{3}{q}$ ....(2)

Substitute this value of $y$ in equation (1), we get

$14\left(\frac{3}{q}\right)-8=13$

$\Rightarrow \frac{42}{q}-8=13$

By taking L.C.M., we get

$\frac{42-8q}{q}=13$

$\Rightarrow 42-8q=13q$

$\Rightarrow 42=21q$

On dividing $21$ on both sides, we get

$q=2$