(x+y)+(x-y)+(x*y)=1991

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Solution for (x+y)+(x-y)+(x*y)=1991 equation:


Simplifying
(x + y) + (x + -1y) + (x * y) = 1991

Remove parenthesis around (x + y)
x + y + (x + -1y) + (x * y) = 1991

Remove parenthesis around (x + -1y)
x + y + x + -1y + (x * y) = 1991

Multiply x * y
x + y + x + -1y + (xy) = 1991
x + y + x + -1y + xy = 1991

Reorder the terms:
x + x + xy + y + -1y = 1991

Combine like terms: x + x = 2x
2x + xy + y + -1y = 1991

Combine like terms: y + -1y = 0
2x + xy + 0 = 1991
2x + xy = 1991

Solving
2x + xy = 1991

Solving for variable 'x'.

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

Reorder the terms:
-1991 + 2x + xy = 1991 + -1991

Combine like terms: 1991 + -1991 = 0
-1991 + 2x + xy = 0

The solution to this equation could not be determined.

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