Answer:
The solution to the system of equations is m = 7 and n = 5.
Explanation:
m-n=2
5m = 7n
From the second equation, we can isolate one of the variables in terms of the other. We can divide both sides by 7 to get:
m = (7/5)n
Now we can substitute this expression for m into the first equation and solve for n:
m - n = 2
(7/5)n - n = 2
(7/5 - 1)n = 2
(2/5)n = 2
n = 5
Now that we have found n, we can substitute this value into the expression we found for m:
m = (7/5)n
m = (7/5)(5)
m = 7
Therefore, the solution to the system of equations is m = 7 and n = 5.