Solve for x
x=\frac{6\left(y+7\right)}{7}
Solve for y
y=\frac{7\left(x-6\right)}{6}
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7x=42+6y
Add 6y to both sides.
7x=6y+42
The equation is in standard form.
\frac{7x}{7}=\frac{6y+42}{7}
Divide both sides by 7.
x=\frac{6y+42}{7}
Dividing by 7 undoes the multiplication by 7.
x=\frac{6y}{7}+6
Divide 42+6y by 7.
-6y=42-7x
Subtract 7x from both sides.
\frac{-6y}{-6}=\frac{42-7x}{-6}
Divide both sides by -6.
y=\frac{42-7x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{7x}{6}-7
Divide 42-7x by -6.
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