Question

1/2(m-1)+5 = 1/3(2m+1) solve equation and verify answer​

Answer 1

Hi there !

$\frac{1}{2} (m - 1) + 5 = \frac{1}{3} (2m + 1) \\ \\ \frac{1}{2} m - \frac{1}{2} + 5 = \frac{2}{3} m + \frac{1}{3} \\ \\ \frac{1}{2} m + \frac{9}{2} = \frac{2}{3} m + \frac{1}{3 } \\ \\ 3m + 27 = 4m + 2 \\ \\ 3m - 4m = 2 - 27 \\ \\ - m = - 25 \\ \\ m = 25$

Verification :-

1/2 (25-1)+5 = 1/3(2×25+1)

1/2×24+5 = 1/3 (50+1)

17=17

R.H.S = L.H.S

Hence verified.

Thankyou :)