2xy-y^2=3x-y

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Solution for 2xy-y^2=3x-y equation:


Simplifying
2xy + -1y2 = 3x + -1y

Solving
2xy + -1y2 = 3x + -1y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2xy + -3x + -1y2 = 3x + -3x + -1y

Reorder the terms:
-3x + 2xy + -1y2 = 3x + -3x + -1y

Combine like terms: 3x + -3x = 0
-3x + 2xy + -1y2 = 0 + -1y
-3x + 2xy + -1y2 = -1y

Add 'y2' to each side of the equation.
-3x + 2xy + -1y2 + y2 = -1y + y2

Combine like terms: -1y2 + y2 = 0
-3x + 2xy + 0 = -1y + y2
-3x + 2xy = -1y + y2

Reorder the terms:
-3x + 2xy + y + -1y2 = -1y + y + y2 + -1y2

Combine like terms: -1y + y = 0
-3x + 2xy + y + -1y2 = 0 + y2 + -1y2
-3x + 2xy + y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-3x + 2xy + y + -1y2 = 0

The solution to this equation could not be determined.

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