X^1Y^1=X^2Y^2

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Solution for X^1Y^1=X^2Y^2 equation:


Simplifying
XY = X2Y2

Solving
XY = X2Y2

Solving for variable 'X'.

Combine like terms: X2Y2 + -1X2Y2 = 0
XY + -1X2Y2 = 0

Factor out the Greatest Common Factor (GCF), 'XY'.
XY(1 + -1XY) = 0

Subproblem 1

Set the factor 'XY' equal to zero and attempt to solve: Simplifying XY = 0 Solving XY = 0 Move all terms containing X to the left, all other terms to the right. Simplifying XY = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + -1XY)' equal to zero and attempt to solve: Simplifying 1 + -1XY = 0 Solving 1 + -1XY = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1XY = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1XY = 0 + -1 -1XY = 0 + -1 Combine like terms: 0 + -1 = -1 -1XY = -1 Divide each side by '-1Y'. X = Y-1 Simplifying X = Y-1

Solution

X = {Y-1}

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