(x-3)(y-4)=1

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Solution for (x-3)(y-4)=1 equation:


Simplifying
(x + -3)(y + -4) = 1

Reorder the terms:
(-3 + x)(y + -4) = 1

Reorder the terms:
(-3 + x)(-4 + y) = 1

Multiply (-3 + x) * (-4 + y)
(-3(-4 + y) + x(-4 + y)) = 1
((-4 * -3 + y * -3) + x(-4 + y)) = 1
((12 + -3y) + x(-4 + y)) = 1
(12 + -3y + (-4 * x + y * x)) = 1
(12 + -3y + (-4x + xy)) = 1

Reorder the terms:
(12 + -4x + xy + -3y) = 1
(12 + -4x + xy + -3y) = 1

Solving
12 + -4x + xy + -3y = 1

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -4x + xy + -12 + -3y = 1 + -12

Reorder the terms:
12 + -12 + -4x + xy + -3y = 1 + -12

Combine like terms: 12 + -12 = 0
0 + -4x + xy + -3y = 1 + -12
-4x + xy + -3y = 1 + -12

Combine like terms: 1 + -12 = -11
-4x + xy + -3y = -11

Add '3y' to each side of the equation.
-4x + xy + -3y + 3y = -11 + 3y

Combine like terms: -3y + 3y = 0
-4x + xy + 0 = -11 + 3y
-4x + xy = -11 + 3y

Reorder the terms:
11 + -4x + xy + -3y = -11 + 3y + 11 + -3y

Reorder the terms:
11 + -4x + xy + -3y = -11 + 11 + 3y + -3y

Combine like terms: -11 + 11 = 0
11 + -4x + xy + -3y = 0 + 3y + -3y
11 + -4x + xy + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
11 + -4x + xy + -3y = 0

The solution to this equation could not be determined.

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