You can put this solution on YOUR website! 1/2x + 1/2y = 2
1/3x - 1/3y = 4
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Assuming 1/2x means (1/2)x and not 1/(2x):
Multiply the 1st eqn by 2 and the 2nd by 3
x + y = 4
x - y = 12
----------- Add
2x = 16
you can finish it.
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Use parentheses to eliminate the ambiguities.