20+40x+100y-x^2-xy-y^2=2x+3y

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Solution for 20+40x+100y-x^2-xy-y^2=2x+3y equation:


Simplifying
20 + 40x + 100y + -1x2 + -1xy + -1y2 = 2x + 3y

Reorder the terms:
20 + 40x + -1xy + -1x2 + 100y + -1y2 = 2x + 3y

Solving
20 + 40x + -1xy + -1x2 + 100y + -1y2 = 2x + 3y

Solving for variable 'x'.

Reorder the terms:
20 + 40x + -2x + -1xy + -1x2 + 100y + -3y + -1y2 = 2x + 3y + -2x + -3y

Combine like terms: 40x + -2x = 38x
20 + 38x + -1xy + -1x2 + 100y + -3y + -1y2 = 2x + 3y + -2x + -3y

Combine like terms: 100y + -3y = 97y
20 + 38x + -1xy + -1x2 + 97y + -1y2 = 2x + 3y + -2x + -3y

Reorder the terms:
20 + 38x + -1xy + -1x2 + 97y + -1y2 = 2x + -2x + 3y + -3y

Combine like terms: 2x + -2x = 0
20 + 38x + -1xy + -1x2 + 97y + -1y2 = 0 + 3y + -3y
20 + 38x + -1xy + -1x2 + 97y + -1y2 = 3y + -3y

Combine like terms: 3y + -3y = 0
20 + 38x + -1xy + -1x2 + 97y + -1y2 = 0

The solution to this equation could not be determined.

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