Solve for x
x=3+2z-2y
Solve for y
y=-\frac{x}{2}+z+\frac{3}{2}
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3x-6z=9-6y
Subtract 6y from both sides.
3x=9-6y+6z
Add 6z to both sides.
3x=9+6z-6y
The equation is in standard form.
\frac{3x}{3}=\frac{9+6z-6y}{3}
Divide both sides by 3.
x=\frac{9+6z-6y}{3}
Dividing by 3 undoes the multiplication by 3.
x=3+2z-2y
Divide 9-6y+6z by 3.
6y-6z=9-3x
Subtract 3x from both sides.
6y=9-3x+6z
Add 6z to both sides.
6y=9+6z-3x
The equation is in standard form.
\frac{6y}{6}=\frac{9+6z-3x}{6}
Divide both sides by 6.
y=\frac{9+6z-3x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{x}{2}+z+\frac{3}{2}
Divide 9-3x+6z by 6.
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