Posted by Laura on Tuesday, August 24, 2010 at 2:59pm.
From your work, it appears that the original expression is:
(x-2y)/5=3(y+2)/4 +3
If that is the case, your intermediate calculation is correct:
4x-8y=15y+30+60
From here, you will group all terms containing y to the left hand side, and everything else to the right to get:
-15y-8y=-4x+30+60, or
-23y = -4x + 90
Now divide by the coefficient of y, namely -23:
y = (4/23)x - 90/23
Substitute this value of y into the left and right hand sides of the original equation to make sure they are equal (=(3/23)(x+12))
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