(abs)x=(abs)y

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Solution for (abs)x=(abs)y equation:


Simplifying
(abs) * x = (abs) * y

Multiply abs * x
absx = (abs) * y

Multiply abs * y
absx = absy

Solving
absx = absy

Solving for variable 'a'.

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

Add '-1absy' to each side of the equation.
absx + -1absy = absy + -1absy

Combine like terms: absy + -1absy = 0
absx + -1absy = 0

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

Subproblem 1

Set the factor 'abs' equal to zero and attempt to solve: Simplifying abs = 0 Solving abs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abs = 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 '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + -1y = 0 + -1x -1y = 0 + -1x Remove the zero: -1y = -1x Add 'y' to each side of the equation. -1y + y = -1x + y Combine like terms: -1y + y = 0 0 = -1x + y Simplifying 0 = -1x + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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