Question

Solve the equation:-

m - m-1/2 = 1 - m-2/3

(Answer = 7/5)

Answer 1

 m - (m - 1)/2 = 1- (m - 2)/3
(2m - m + 1)/2 = (3 - m + 2)/3
(m + 1)/2 = ( 5 - m)/3
3(m + 1) = 2(5 - m)
3m + 3 = 10 - 2m
3m + 2m = 10 - 3
5m = 7
m = 7/5

Hope This Helps You!

Answer 2

Given:

An equation m - m-1/2 = 1 - m-2/3.

To find:

The solution of the given equation.

Solution:

We need to solve the equation given in the question which is:

$m - \frac{(m - 1)}{2} = 1 - \frac{(m - 2)}{3}$

To solve the above equation, we need to make the denominator the same on both LHS and RHS.

So, we take the LCM of 2 and 3 which is 6.

Thus, after multiplying (m - 1)/2 by 3 and (m - 2)/3 by 2 on both numerator and denominator we get,

$m - \frac{(m - 1)3}{6} = 1 - \frac{(m - 2)2}{6}$

$m - \frac{(3m - 3)}{6} = 1 - \frac{(2m - 4)}{6}$

$\frac{6m - 3m + 3}{6 } = \frac{6 - 2m + 4}{6}$

On multiplying by 6 on both sides, we get,

$6m - 3m + 3 = 6 - 2m + 4$

$3m + 2m = 10 - 3$

$5m = 7$

$m = \frac{7}{5}$

Hence, the equation is solved where m = 7/5.