Question

Question 8
$\frac{2x}{3}+1=\frac{7x}{15}+3$

Answer 1

$\frac{2x}{3}+1=\frac{7x}{15}+3$
$\Rightarrow \frac{2x}{3}-\frac{7x}{15}=3-1$
$\Rightarrow \frac{10x-7x}{15}=2$
$\Rightarrow 3x=30$
$\Rightarrow x=\frac{30}{3}=10$
To check:
$\frac{2x}{3}+1=\frac{7x}{15}+3\Rightarrow \frac{2\times 10}{3}+1=\frac{7\times 10}{15}+3$
$\Rightarrow \frac{20}{3}+1=\frac{14}{3}+3\Rightarrow \frac{20+3}{3}=\frac{14+9}{3}$
$\Rightarrow \frac{23}{3}=\frac{23}{3}$
$\Rightarrow L.H.S=R.H.S$.
Hence, it is correct.