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x - 2 y = 2
2x + 3y = 11
Solve for x in the first and substitute into the second:
x = 2y + 2
2(2y + 2) + 3y = 11
4y + 4 + 3y = 11
7y + 4 = 11
7y = 7
y = 1
Then since x = 2y + 2, we have
x = 2(1) + 2
x = 4
Our solution is (4, 1)