Solve for x
x=\frac{y-6}{13}
Solve for y
y=13x+6
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13x+7=y+1
Swap sides so that all variable terms are on the left hand side.
13x=y+1-7
Subtract 7 from both sides.
13x=y-6
Subtract 7 from 1 to get -6.
\frac{13x}{13}=\frac{y-6}{13}
Divide both sides by 13.
x=\frac{y-6}{13}
Dividing by 13 undoes the multiplication by 13.
y=13x+7-1
Subtract 1 from both sides.
y=13x+6
Subtract 1 from 7 to get 6.
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