(x-1)(y-1)=100

Solution for (x-1)(y-1)=100 equation:

Simplifying
(x + -1)(y + -1) = 100

Reorder the terms:
(-1 + x)(y + -1) = 100

Reorder the terms:
(-1 + x)(-1 + y) = 100

Multiply (-1 + x) * (-1 + y)
(-1(-1 + y) + x(-1 + y)) = 100
((-1 * -1 + y * -1) + x(-1 + y)) = 100
((1 + -1y) + x(-1 + y)) = 100
(1 + -1y + (-1 * x + y * x)) = 100
(1 + -1y + (-1x + xy)) = 100

Reorder the terms:
(1 + -1x + xy + -1y) = 100
(1 + -1x + xy + -1y) = 100

Solving
1 + -1x + xy + -1y = 100

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1x + xy + -1 + -1y = 100 + -1

Reorder the terms:
1 + -1 + -1x + xy + -1y = 100 + -1

Combine like terms: 1 + -1 = 0
0 + -1x + xy + -1y = 100 + -1
-1x + xy + -1y = 100 + -1

Combine like terms: 100 + -1 = 99
-1x + xy + -1y = 99

Add 'y' to each side of the equation.
-1x + xy + -1y + y = 99 + y

Combine like terms: -1y + y = 0
-1x + xy + 0 = 99 + y
-1x + xy = 99 + y

Reorder the terms:
-99 + -1x + xy + -1y = 99 + y + -99 + -1y

Reorder the terms:
-99 + -1x + xy + -1y = 99 + -99 + y + -1y

Combine like terms: 99 + -99 = 0
-99 + -1x + xy + -1y = 0 + y + -1y
-99 + -1x + xy + -1y = y + -1y

Combine like terms: y + -1y = 0
-99 + -1x + xy + -1y = 0

The solution to this equation could not be determined.