.
=
, (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 =
=
.
Now from equation (1)
=
=
=
=
=
.
Hence, n =
=
.
Answer. n =
, m =
.