Solve for x
x=\frac{5\left(y-11\right)}{3}
Solve for y
y=\frac{3x}{5}+11
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\frac{3}{5}x+11=y
Swap sides so that all variable terms are on the left hand side.
\frac{3}{5}x=y-11
Subtract 11 from both sides.
\frac{\frac{3}{5}x}{\frac{3}{5}}=\frac{y-11}{\frac{3}{5}}
Divide both sides of the equation by \frac{3}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-11}{\frac{3}{5}}
Dividing by \frac{3}{5} undoes the multiplication by \frac{3}{5}.
x=\frac{5y-55}{3}
Divide y-11 by \frac{3}{5} by multiplying y-11 by the reciprocal of \frac{3}{5}.
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Limits
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