Solve for x
x=5y-9
Solve for y
y=\frac{x+9}{5}
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y=2+\frac{1}{5}x-\frac{1}{5}
Use the distributive property to multiply x-1 by \frac{1}{5}.
y=\frac{9}{5}+\frac{1}{5}x
Subtract \frac{1}{5} from 2 to get \frac{9}{5}.
\frac{9}{5}+\frac{1}{5}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{5}x=y-\frac{9}{5}
Subtract \frac{9}{5} from both sides.
\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{y-\frac{9}{5}}{\frac{1}{5}}
Multiply both sides by 5.
x=\frac{y-\frac{9}{5}}{\frac{1}{5}}
Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.
x=5y-9
Divide y-\frac{9}{5} by \frac{1}{5} by multiplying y-\frac{9}{5} by the reciprocal of \frac{1}{5}.
y=2+\frac{1}{5}x-\frac{1}{5}
Use the distributive property to multiply x-1 by \frac{1}{5}.
y=\frac{9}{5}+\frac{1}{5}x
Subtract \frac{1}{5} from 2 to get \frac{9}{5}.
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Limits
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