Solve for x
x=-\frac{4y}{3}+2z+\frac{2}{3}
Solve for y
y=\frac{3z}{2}-\frac{3x}{4}+\frac{1}{2}
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3x-6z=2-4y
Subtract 4y from both sides.
3x=2-4y+6z
Add 6z to both sides.
3x=2+6z-4y
The equation is in standard form.
\frac{3x}{3}=\frac{2+6z-4y}{3}
Divide both sides by 3.
x=\frac{2+6z-4y}{3}
Dividing by 3 undoes the multiplication by 3.
x=-\frac{4y}{3}+2z+\frac{2}{3}
Divide 2-4y+6z by 3.
4y-6z=2-3x
Subtract 3x from both sides.
4y=2-3x+6z
Add 6z to both sides.
4y=2+6z-3x
The equation is in standard form.
\frac{4y}{4}=\frac{2+6z-3x}{4}
Divide both sides by 4.
y=\frac{2+6z-3x}{4}
Dividing by 4 undoes the multiplication by 4.
y=\frac{3z}{2}-\frac{3x}{4}+\frac{1}{2}
Divide 2-3x+6z by 4.
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