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Answer:
Using elimination:
x + 2y = 1---> x + 2y = 1
2x - y = 2--->4x - 2y = 4
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5x = 5
x = 1, y = 0
Using substitution:
x + 2y = 1--->x = 1 - 2y
2(1 - 2y) - y = 2
2 - 4y - y = 2
2 - 5y = 2
y = 0, x = 1