Solve for x
x=-y+\frac{2}{z}
z\neq 0
Solve for y
y=-x+\frac{2}{z}
z\neq 0
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2=xz+yz
Use the distributive property to multiply x+y by z.
xz+yz=2
Swap sides so that all variable terms are on the left hand side.
xz=2-yz
Subtract yz from both sides.
zx=2-yz
The equation is in standard form.
\frac{zx}{z}=\frac{2-yz}{z}
Divide both sides by z.
x=\frac{2-yz}{z}
Dividing by z undoes the multiplication by z.
x=-y+\frac{2}{z}
Divide 2-yz by z.
2=xz+yz
Use the distributive property to multiply x+y by z.
xz+yz=2
Swap sides so that all variable terms are on the left hand side.
yz=2-xz
Subtract xz from both sides.
zy=2-xz
The equation is in standard form.
\frac{zy}{z}=\frac{2-xz}{z}
Divide both sides by z.
y=\frac{2-xz}{z}
Dividing by z undoes the multiplication by z.
y=-x+\frac{2}{z}
Divide 2-xz by z.
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