Explanation:
Hello there!
Here is the solution to our problem:
To begin with, we give our equations labels as below;
3m − n = 2 ...................eq.1
2m + n = − 7 ..................eq.2
Then, Let's manipulate eq.2
2m + n = − 7
n = -7 - 2m ...............eq3
And finally substitute the manipulated eq.3 into eq.1
3m − n = 2
3m − (-7 - 2m) = 2
3m + 7 + 2m = 2
5m = -5
m = -1
Substitute the value of m into eq.3
n = -7 - 2(-1)
= -5
In terms of x and y;
(x,y) : (m, n) => (-1, -5)
Therefore (m, n) = (-1, -5)
I hope this helps.
Have a nice studies.