2-x-7-yx=y

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Solution for 2-x-7-yx=y equation:


Simplifying
2 + -1x + -7 + -1yx = y

Reorder the terms:
2 + -7 + -1x + -1xy = y

Combine like terms: 2 + -7 = -5
-5 + -1x + -1xy = y

Solving
-5 + -1x + -1xy = y

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + -1x + 5 + -1xy = 5 + y

Reorder the terms:
-5 + 5 + -1x + -1xy = 5 + y

Combine like terms: -5 + 5 = 0
0 + -1x + -1xy = 5 + y
-1x + -1xy = 5 + y

Reorder the terms:
-5 + -1x + -1xy + -1y = 5 + y + -5 + -1y

Reorder the terms:
-5 + -1x + -1xy + -1y = 5 + -5 + y + -1y

Combine like terms: 5 + -5 = 0
-5 + -1x + -1xy + -1y = 0 + y + -1y
-5 + -1x + -1xy + -1y = y + -1y

Combine like terms: y + -1y = 0
-5 + -1x + -1xy + -1y = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + x + xy + y) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(5 + x + xy + y)' equal to zero and attempt to solve: Simplifying 5 + x + xy + y = 0 Solving 5 + x + xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + x + xy + -5 + y = 0 + -5 Reorder the terms: 5 + -5 + x + xy + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x + xy + y = 0 + -5 x + xy + y = 0 + -5 Combine like terms: 0 + -5 = -5 x + xy + y = -5 Add '-1y' to each side of the equation. x + xy + y + -1y = -5 + -1y Combine like terms: y + -1y = 0 x + xy + 0 = -5 + -1y x + xy = -5 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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