Solve for x
x=\frac{6y-16}{7}
Solve for y
y=\frac{7x}{6}+\frac{8}{3}
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-7x+6y=16
Swap sides so that all variable terms are on the left hand side.
-7x=16-6y
Subtract 6y from both sides.
\frac{-7x}{-7}=\frac{16-6y}{-7}
Divide both sides by -7.
x=\frac{16-6y}{-7}
Dividing by -7 undoes the multiplication by -7.
x=\frac{6y-16}{7}
Divide 16-6y by -7.
-7x+6y=16
Swap sides so that all variable terms are on the left hand side.
6y=16+7x
Add 7x to both sides.
6y=7x+16
The equation is in standard form.
\frac{6y}{6}=\frac{7x+16}{6}
Divide both sides by 6.
y=\frac{7x+16}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{7x}{6}+\frac{8}{3}
Divide 16+7x by 6.
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