Question

solve the following linear equation m-(m-1)/2=1-(m-2)/3

Answer 1

Answer:

m =

$\frac{7}{5}$

Step-by-step explanation:

$m - \frac{(m - 1)}{2} = 1 - \frac{(m - 2)}{3} \\ \frac{2m - (m - 1)}{2} = \frac{3 - (m - 2)}{3} \\ \frac{2m - m + 1}{2} = \frac{3 - m + 2}{3} \\ \frac{m + 1}{2} = \frac{5 - m}{3}$

Now cross multiply -

$3(m + 1) = 2(5 - m) \\ 3m + 3 = 10 - 2m \\ 3m + 2m = 10 - 3 \\ 5m = 7 \\ m = \frac{7}{5}$