Solve for x
x=-\frac{8y}{17}+\frac{152}{51}
Solve for y
y=-\frac{17x}{8}+\frac{19}{3}
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-\frac{17}{8}x+\frac{19}{3}=y
Swap sides so that all variable terms are on the left hand side.
-\frac{17}{8}x=y-\frac{19}{3}
Subtract \frac{19}{3} from both sides.
\frac{-\frac{17}{8}x}{-\frac{17}{8}}=\frac{y-\frac{19}{3}}{-\frac{17}{8}}
Divide both sides of the equation by -\frac{17}{8}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-\frac{19}{3}}{-\frac{17}{8}}
Dividing by -\frac{17}{8} undoes the multiplication by -\frac{17}{8}.
x=-\frac{8y}{17}+\frac{152}{51}
Divide y-\frac{19}{3} by -\frac{17}{8} by multiplying y-\frac{19}{3} by the reciprocal of -\frac{17}{8}.
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