Solve for x
x=\frac{y-3z+10}{6}
Solve for y
y=6x+3z-10
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6x+3z=10+y
Add y to both sides.
6x=10+y-3z
Subtract 3z from both sides.
6x=y-3z+10
The equation is in standard form.
\frac{6x}{6}=\frac{y-3z+10}{6}
Divide both sides by 6.
x=\frac{y-3z+10}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{6}-\frac{z}{2}+\frac{5}{3}
Divide 10+y-3z by 6.
-y+3z=10-6x
Subtract 6x from both sides.
-y=10-6x-3z
Subtract 3z from both sides.
-y=10-3z-6x
The equation is in standard form.
\frac{-y}{-1}=\frac{10-3z-6x}{-1}
Divide both sides by -1.
y=\frac{10-3z-6x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=6x+3z-10
Divide 10-6x-3z by -1.
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