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x-y=1 (1)
x+y=3 (2)
Add (1) and (2) to eliminate y:
x- y + x - y =1 + 3
2x = 4
x = 4/2
x = 2
Substitute x = 2 into (1) to find y:
2 + y = 3
y = 3 - 2
y = 1
The solution is (2, 1)