Solve for x
x=-\frac{5y}{6}+\frac{25}{3}
Solve for y
y=-\frac{6x}{5}+10
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-\frac{6}{5}x+10=y
Swap sides so that all variable terms are on the left hand side.
-\frac{6}{5}x=y-10
Subtract 10 from both sides.
\frac{-\frac{6}{5}x}{-\frac{6}{5}}=\frac{y-10}{-\frac{6}{5}}
Divide both sides of the equation by -\frac{6}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-10}{-\frac{6}{5}}
Dividing by -\frac{6}{5} undoes the multiplication by -\frac{6}{5}.
x=-\frac{5y}{6}+\frac{25}{3}
Divide y-10 by -\frac{6}{5} by multiplying y-10 by the reciprocal of -\frac{6}{5}.
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