abs(y)=-abs(x)

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


Simplifying
abs(y) = -1abs(x)

Multiply abs * y
absy = -1abs(x)

Multiply abs * x
absy = -1absx

Solving
absy = -1absx

Solving for variable 'a'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'abs'.
abs(x + y) = 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 + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 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 + y = 0 + -1x Combine like terms: x + -1x = 0 0 + y = 0 + -1x y = 0 + -1x Remove the zero: y = -1x Add '-1y' to each side of the equation. y + -1y = -1x + -1y Combine like terms: y + -1y = 0 0 = -1x + -1y Simplifying 0 = -1x + -1y 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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