Solve for x
x=-\frac{z}{3}-y+\frac{5}{3}
Solve for y
y=-\frac{z}{3}-x+\frac{5}{3}
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3x+z=5-3y
Subtract 3y from both sides.
3x=5-3y-z
Subtract z from both sides.
3x=5-z-3y
The equation is in standard form.
\frac{3x}{3}=\frac{5-z-3y}{3}
Divide both sides by 3.
x=\frac{5-z-3y}{3}
Dividing by 3 undoes the multiplication by 3.
x=-\frac{z}{3}-y+\frac{5}{3}
Divide 5-3y-z by 3.
3y+z=5-3x
Subtract 3x from both sides.
3y=5-3x-z
Subtract z from both sides.
3y=5-z-3x
The equation is in standard form.
\frac{3y}{3}=\frac{5-z-3x}{3}
Divide both sides by 3.
y=\frac{5-z-3x}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{z}{3}-x+\frac{5}{3}
Divide 5-3x-z by 3.
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