Solve for x
x=\frac{2+z-y}{3}
Solve for y
y=2+z-3x
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6x-2z=4-2y
Subtract 2y from both sides.
6x=4-2y+2z
Add 2z to both sides.
6x=4+2z-2y
The equation is in standard form.
\frac{6x}{6}=\frac{4+2z-2y}{6}
Divide both sides by 6.
x=\frac{4+2z-2y}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{2+z-y}{3}
Divide 4-2y+2z by 6.
2y-2z=4-6x
Subtract 6x from both sides.
2y=4-6x+2z
Add 2z to both sides.
2y=4+2z-6x
The equation is in standard form.
\frac{2y}{2}=\frac{4+2z-6x}{2}
Divide both sides by 2.
y=\frac{4+2z-6x}{2}
Dividing by 2 undoes the multiplication by 2.
y=2+z-3x
Divide 4-6x+2z by 2.
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