Question

$\frac{5x + 2}{6x - 2} = \frac{2}{3}$
solve and verify the equation. please help me​

Answer 1

Question :

$\tt \frac{5x + 2}{6x - 2} = \frac{2}{3}$

solve and verify the equation.

Solution :

$\tt \frac{5x + 2}{6x - 2} = \frac{2}{3}$

Cross multiplying

$\tt \implies$ 3(5x+2) = 2(6x-2)

$\tt \implies$ 15 x + 6 = 12x - 4

$\tt \implies$ 15x -12x = - 4 - 6

$\tt \implies$ 3x = -10

$\tt \implies$ x = $\tt \frac{-10}{3}$

Verification :

$\tt \frac{5x + 2}{6x - 2} = \frac{2}{3}$

L.H.S.

$\tt \implies \frac{5x + 2}{6x - 2}$

putting obtained value of x

$\tt \implies \frac{5(\frac{-10}{3}) + 2}{6(\frac{-10}{3}) - 2}$

$\tt \implies \frac{\frac{-50}{3} + 2}{-20- 2}$

$\tt \implies \frac{\frac{-50+6}{3}}{-22}$

$\tt \implies \frac{\frac{-44}{3}}{-22}$

$\tt \implies \frac{2}{3}$

$\tt \implies$ R.H.S

Hence verified.