Solve for x
x=\frac{-2y-6}{7}
Solve for y
y=-\frac{7x}{2}-3
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-\frac{7}{2}x-3=y
Swap sides so that all variable terms are on the left hand side.
-\frac{7}{2}x=y+3
Add 3 to both sides.
\frac{-\frac{7}{2}x}{-\frac{7}{2}}=\frac{y+3}{-\frac{7}{2}}
Divide both sides of the equation by -\frac{7}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y+3}{-\frac{7}{2}}
Dividing by -\frac{7}{2} undoes the multiplication by -\frac{7}{2}.
x=\frac{-2y-6}{7}
Divide y+3 by -\frac{7}{2} by multiplying y+3 by the reciprocal of -\frac{7}{2}.
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