xz+yz=1

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Solution for xz+yz=1 equation: 


Simplifying
xz + yz = 1

Solving
xz + yz = 1

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1yz' to each side of the equation.
xz + yz + -1yz = 1 + -1yz

Combine like terms: yz + -1yz = 0
xz + 0 = 1 + -1yz
xz = 1 + -1yz

Divide each side by 'z'.
x = z-1 + -1y

Simplifying
x = z-1 + -1y

Reorder the terms:
x = -1y + z-1

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