Solve for x
x=3-2y
Solve for y
y=\frac{3-x}{2}
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y=1-\frac{1}{2}x+\frac{1}{2}
Use the distributive property to multiply -\frac{1}{2} by x-1.
y=\frac{3}{2}-\frac{1}{2}x
Add 1 and \frac{1}{2} to get \frac{3}{2}.
\frac{3}{2}-\frac{1}{2}x=y
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{2}x=y-\frac{3}{2}
Subtract \frac{3}{2} from both sides.
\frac{-\frac{1}{2}x}{-\frac{1}{2}}=\frac{y-\frac{3}{2}}{-\frac{1}{2}}
Multiply both sides by -2.
x=\frac{y-\frac{3}{2}}{-\frac{1}{2}}
Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.
x=3-2y
Divide y-\frac{3}{2} by -\frac{1}{2} by multiplying y-\frac{3}{2} by the reciprocal of -\frac{1}{2}.
y=1-\frac{1}{2}x+\frac{1}{2}
Use the distributive property to multiply -\frac{1}{2} by x-1.
y=\frac{3}{2}-\frac{1}{2}x
Add 1 and \frac{1}{2} to get \frac{3}{2}.
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