1=x+y+x*y

Solution for 1=x+y+x*y equation:

Simplifying
1 = x + y + x * y

Multiply x * y
1 = x + y + xy

Reorder the terms:
1 = x + xy + y

Solving
1 = x + xy + y

Solving for variable 'x'.

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.