z(x-y)-9=17z-x+y

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Solution for z(x-y)-9=17z-x+y equation:


Simplifying
z(x + -1y) + -9 = 17z + -1x + y
(x * z + -1y * z) + -9 = 17z + -1x + y
(xz + -1yz) + -9 = 17z + -1x + y

Reorder the terms:
-9 + xz + -1yz = 17z + -1x + y

Reorder the terms:
-9 + xz + -1yz = -1x + y + 17z

Solving
-9 + xz + -1yz = -1x + y + 17z

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + xz + x + -1yz = -1x + y + x + 17z

Reorder the terms:
-9 + x + xz + -1yz = -1x + y + x + 17z

Reorder the terms:
-9 + x + xz + -1yz = -1x + x + y + 17z

Combine like terms: -1x + x = 0
-9 + x + xz + -1yz = 0 + y + 17z
-9 + x + xz + -1yz = y + 17z

Add '9' to each side of the equation.
-9 + x + xz + 9 + -1yz = y + 9 + 17z

Reorder the terms:
-9 + 9 + x + xz + -1yz = y + 9 + 17z

Combine like terms: -9 + 9 = 0
0 + x + xz + -1yz = y + 9 + 17z
x + xz + -1yz = y + 9 + 17z

Reorder the terms:
x + xz + -1yz = 9 + y + 17z

Add 'yz' to each side of the equation.
x + xz + -1yz + yz = 9 + y + yz + 17z

Combine like terms: -1yz + yz = 0
x + xz + 0 = 9 + y + yz + 17z
x + xz = 9 + y + yz + 17z

Reorder the terms:
-9 + x + xz + -1y + -1yz + -17z = 9 + y + yz + 17z + -9 + -1y + -1yz + -17z

Reorder the terms:
-9 + x + xz + -1y + -1yz + -17z = 9 + -9 + y + -1y + yz + -1yz + 17z + -17z

Combine like terms: 9 + -9 = 0
-9 + x + xz + -1y + -1yz + -17z = 0 + y + -1y + yz + -1yz + 17z + -17z
-9 + x + xz + -1y + -1yz + -17z = y + -1y + yz + -1yz + 17z + -17z

Combine like terms: y + -1y = 0
-9 + x + xz + -1y + -1yz + -17z = 0 + yz + -1yz + 17z + -17z
-9 + x + xz + -1y + -1yz + -17z = yz + -1yz + 17z + -17z

Combine like terms: yz + -1yz = 0
-9 + x + xz + -1y + -1yz + -17z = 0 + 17z + -17z
-9 + x + xz + -1y + -1yz + -17z = 17z + -17z

Combine like terms: 17z + -17z = 0
-9 + x + xz + -1y + -1yz + -17z = 0

The solution to this equation could not be determined.

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