Question 1084423
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{{{m/2 + n/2}}} = {{{13/10}}},        (1)
3(m-n) = m-10.    (2)


Multiply equation (1) by 60 (both sides).  You will get an equivalent equation

30m + 30n = 78.       (1')


Simplify equation (2) step by step. You will get equivalent equations

3m - 3n = m - 10,

2m - 3n = -10,

20m - 30n = -100.     (2')


Now add equations (1') and (2') (both sides). You will get

50 m = 78 - 100 = -22.


Hence, m = {{{-22/50}}} = {{{-11/25}}}.


Now from equation (1)  {{{n/2}}} = {{{13/10-m/2}}} = {{{13/10 + 11/(2*25)}}} = {{{65/50 + 11/50}}} = {{{76/50}}} = {{{38/25}}}.

Hence,  n = {{{2*(38/25)}}} = {{{76/25}}}.


<U>Answer</U>.  n = {{{76/25}}},  m = {{{-11/25}}}.
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