Solve for x
x=\frac{6y+z}{2}
Solve for y
y=\frac{x}{3}-\frac{z}{6}
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2x=6y+z
Add z to both sides.
\frac{2x}{2}=\frac{6y+z}{2}
Divide both sides by 2.
x=\frac{6y+z}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{z}{2}+3y
Divide 6y+z by 2.
6y=2x-z
Swap sides so that all variable terms are on the left hand side.
\frac{6y}{6}=\frac{2x-z}{6}
Divide both sides by 6.
y=\frac{2x-z}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{x}{3}-\frac{z}{6}
Divide 2x-z by 6.
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