Solve for x
x=6-y
Solve for y
y=6-x
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\frac{1}{2}x=3-\frac{1}{2}y
Subtract \frac{1}{2}y from both sides.
\frac{1}{2}x=-\frac{y}{2}+3
The equation is in standard form.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{-\frac{y}{2}+3}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{-\frac{y}{2}+3}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=6-y
Divide 3-\frac{y}{2} by \frac{1}{2} by multiplying 3-\frac{y}{2} by the reciprocal of \frac{1}{2}.
\frac{1}{2}y=3-\frac{1}{2}x
Subtract \frac{1}{2}x from both sides.
\frac{1}{2}y=-\frac{x}{2}+3
The equation is in standard form.
\frac{\frac{1}{2}y}{\frac{1}{2}}=\frac{-\frac{x}{2}+3}{\frac{1}{2}}
Multiply both sides by 2.
y=\frac{-\frac{x}{2}+3}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
y=6-x
Divide 3-\frac{x}{2} by \frac{1}{2} by multiplying 3-\frac{x}{2} by the reciprocal of \frac{1}{2}.
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