Solve for x
x=\frac{y+10}{6}
Solve for y
y=6x-10
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y+4=6x-6
Use the distributive property to multiply 6 by x-1.
6x-6=y+4
Swap sides so that all variable terms are on the left hand side.
6x=y+4+6
Add 6 to both sides.
6x=y+10
Add 4 and 6 to get 10.
\frac{6x}{6}=\frac{y+10}{6}
Divide both sides by 6.
x=\frac{y+10}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{6}+\frac{5}{3}
Divide y+10 by 6.
y+4=6x-6
Use the distributive property to multiply 6 by x-1.
y=6x-6-4
Subtract 4 from both sides.
y=6x-10
Subtract 4 from -6 to get -10.
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