Question

Solve the following equation and verify your answer:

$\left(iii\right)$ $\frac{5x-7}{3x}=2$

Answer 1

Given: $\frac{5x-7}{3x}=2$

$(5x-7)=2\left(3x\right)$

$5x-7=6x$

$5x-6x=7$

$-x=7$

$x=-7$

To check: $\frac{5x-7}{3x}=2$ for $x=-7$

$\text{L.H.S}=\frac{5x-7}{3x}$

$=\frac{5(-7)-7}{3(-7)}$

$=\frac{-35-7}{-21}$

$=\frac{-42}{-21}$

$=2=\text{R.H.S}$

$\therefore \text{L.H.S = R.H.S}$

Hence, the given equation is verified for $x=-7.$