Write x/2+y/4=1/2 as 2x+y=2, thus, y=2-2x:
x/3 - y/5 = 1/9
5x - 3y = 15/9
5x - 3(2-2x) = 15/9
5x - 6 + 6x = 15/9
11x - 6 = 15/9
11x = 69/9
x = 69/99
x = 23/33
y = 2-2x = 2-2(23/33) = 2-(46/33) = 66/33-46/33 = 20/33
Therefore, x=23/33 and y=20/33
Solve for x and y if x/2+y/4=1/2 and x/3-y/5=1/9
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