SOLUTION: m/2+n/2=13/10 3(m-n)=m-10

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Question 1084423: m/2+n/2=13/10
3(m-n)=m-10

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
m%2F2+%2B+n%2F2 = 13%2F10,        (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%2F50 = -11%2F25.


Now from equation (1)  n%2F2 = 13%2F10-m%2F2 = 13%2F10+%2B+11%2F%282%2A25%29 = 65%2F50+%2B+11%2F50 = 76%2F50 = 38%2F25.

Hence,  n = 2%2A%2838%2F25%29 = 76%2F25.


Answer.  n = 76%2F25,  m = -11%2F25.