Solve for x
x=\frac{y+7}{2}
Solve for y
y=2x-7
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4x-16=2y-2
Swap sides so that all variable terms are on the left hand side.
4x=2y-2+16
Add 16 to both sides.
4x=2y+14
Add -2 and 16 to get 14.
\frac{4x}{4}=\frac{2y+14}{4}
Divide both sides by 4.
x=\frac{2y+14}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{y+7}{2}
Divide 14+2y by 4.
2y=4x-16+2
Add 2 to both sides.
2y=4x-14
Add -16 and 2 to get -14.
\frac{2y}{2}=\frac{4x-14}{2}
Divide both sides by 2.
y=\frac{4x-14}{2}
Dividing by 2 undoes the multiplication by 2.
y=2x-7
Divide 4x-14 by 2.
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