( x + 2 y + 4 z = 0
Solve for x
x=-2y-4z
Solve for y
y=-\frac{x}{2}-2z
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x+4z=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
x=-2y-4z
Subtract 4z from both sides.
2y+4z=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
2y=-x-4z
Subtract 4z from both sides.
\frac{2y}{2}=\frac{-x-4z}{2}
Divide both sides by 2.
y=\frac{-x-4z}{2}
Dividing by 2 undoes the multiplication by 2.
y=-\frac{x}{2}-2z
Divide -x-4z by 2.
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