3xy+2xz+yz=9y+7z+8x

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Solution for 3xy+2xz+yz=9y+7z+8x equation:


Simplifying
3xy + 2xz + yz = 9y + 7z + 8x

Reorder the terms:
3xy + 2xz + yz = 8x + 9y + 7z

Solving
3xy + 2xz + yz = 8x + 9y + 7z

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3xy + 2xz + -8x + yz = 8x + 9y + -8x + 7z

Reorder the terms:
-8x + 3xy + 2xz + yz = 8x + 9y + -8x + 7z

Reorder the terms:
-8x + 3xy + 2xz + yz = 8x + -8x + 9y + 7z

Combine like terms: 8x + -8x = 0
-8x + 3xy + 2xz + yz = 0 + 9y + 7z
-8x + 3xy + 2xz + yz = 9y + 7z

Add '-1yz' to each side of the equation.
-8x + 3xy + 2xz + yz + -1yz = 9y + -1yz + 7z

Combine like terms: yz + -1yz = 0
-8x + 3xy + 2xz + 0 = 9y + -1yz + 7z
-8x + 3xy + 2xz = 9y + -1yz + 7z

Reorder the terms:
-8x + 3xy + 2xz + -9y + yz + -7z = 9y + -9y + -1yz + yz + 7z + -7z

Combine like terms: 9y + -9y = 0
-8x + 3xy + 2xz + -9y + yz + -7z = 0 + -1yz + yz + 7z + -7z
-8x + 3xy + 2xz + -9y + yz + -7z = -1yz + yz + 7z + -7z

Combine like terms: -1yz + yz = 0
-8x + 3xy + 2xz + -9y + yz + -7z = 0 + 7z + -7z
-8x + 3xy + 2xz + -9y + yz + -7z = 7z + -7z

Combine like terms: 7z + -7z = 0
-8x + 3xy + 2xz + -9y + yz + -7z = 0

The solution to this equation could not be determined.

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