Solve for x
x=\frac{19-9y}{4}
Solve for y
y=\frac{19-4x}{9}
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-\frac{4}{9}x+\frac{19}{9}=y
Swap sides so that all variable terms are on the left hand side.
-\frac{4}{9}x=y-\frac{19}{9}
Subtract \frac{19}{9} from both sides.
\frac{-\frac{4}{9}x}{-\frac{4}{9}}=\frac{y-\frac{19}{9}}{-\frac{4}{9}}
Divide both sides of the equation by -\frac{4}{9}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-\frac{19}{9}}{-\frac{4}{9}}
Dividing by -\frac{4}{9} undoes the multiplication by -\frac{4}{9}.
x=\frac{19-9y}{4}
Divide y-\frac{19}{9} by -\frac{4}{9} by multiplying y-\frac{19}{9} by the reciprocal of -\frac{4}{9}.
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