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