SOLUTION: x/2-y/3=5/6 x/5-y-4=15/10 Solve by using substitution

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Question 322994: x/2-y/3=5/6
x/5-y-4=15/10
Solve by using substitution

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x%2F2-y%2F3=5%2F6
2.x%2F5-y-4=15%2F10
From eq. 1,
x=%282%2F3%29y%2B5%2F3
x%2F5=%282%2F15%29y%2B1%2F3
Substitute into eq. 2,
%282%2F15%29y%2B1%2F3-y-4=15%2F10
-%2813%2F15%29y=4%2B15%2F10-1%2F3
-%2813%2F15%29y=120%2F30%2B45%2F30-10%2F30
-%2813%2F15%29y=155%2F30
y=-%28155%2F30%29%2815%2F13%29
highlight%28y=-155%2F26%29
Then,
x=%282%2F3%29y%2B5%2F3
x=-%282%2F3%29%28155%2F26%29%2B5%2F3
x=-155%2F39%2B65%2F39
x=-90%2F39
highlight%28x=-30%2F13%29