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Isolate x in the first equation x-y=5 to get
Now plug this into the second equation
x+2y = 7
+2y = 7 ... replace 'x' with 5+y
*** Notice how this completely gets rid of 'x' in the second equation. This leaves us with y.
Now solve for y
5+y+2y = 7
5+3y = 7
3y = 7-5
3y = 2
y = 2/3
Now that we know that y = 2/3, we can use this to find x.
x = 5+y
x = 5+2/3
x = 15/3+2/3
x = 17/3
So the solutions are x = 17/3
and y = 2/3
These solutions can be represented as the ordered pair (17/3, 2/3)