Solve for x
x=\frac{3\left(y+1\right)}{7}
Solve for y
y=\frac{7x}{3}-1
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14x=6+6y
Add 6y to both sides.
14x=6y+6
The equation is in standard form.
\frac{14x}{14}=\frac{6y+6}{14}
Divide both sides by 14.
x=\frac{6y+6}{14}
Dividing by 14 undoes the multiplication by 14.
x=\frac{3y+3}{7}
Divide 6+6y by 14.
-6y=6-14x
Subtract 14x from both sides.
\frac{-6y}{-6}=\frac{6-14x}{-6}
Divide both sides by -6.
y=\frac{6-14x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{7x}{3}-1
Divide 6-14x by -6.
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