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Simplifying abs(2x + -3 + y) + abs(x + -2y + 3) = 0 Reorder the terms: abs(-3 + 2x + y) + abs(x + -2y + 3) = 0 (-3 * abs + 2x * abs + y * abs) + abs(x + -2y + 3) = 0 (-3abs + 2absx + absy) + abs(x + -2y + 3) = 0 Reorder the terms: -3abs + 2absx + absy + abs(3 + x + -2y) = 0 -3abs + 2absx + absy + (3 * abs + x * abs + -2y * abs) = 0 -3abs + 2absx + absy + (3abs + absx + -2absy) = 0 Reorder the terms: -3abs + 3abs + 2absx + absx + absy + -2absy = 0 Combine like terms: -3abs + 3abs = 0 0 + 2absx + absx + absy + -2absy = 0 2absx + absx + absy + -2absy = 0 Combine like terms: 2absx + absx = 3absx 3absx + absy + -2absy = 0 Combine like terms: absy + -2absy = -1absy 3absx + -1absy = 0 Solving 3absx + -1absy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'abs'. abs(3x + -1y) = 0Subproblem 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 '(3x + -1y)' equal to zero and attempt to solve: Simplifying 3x + -1y = 0 Solving 3x + -1y = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + -3x + -1y = 0 + -3x Combine like terms: 3x + -3x = 0 0 + -1y = 0 + -3x -1y = 0 + -3x Remove the zero: -1y = -3x Add 'y' to each side of the equation. -1y + y = -3x + y Combine like terms: -1y + y = 0 0 = -3x + y Simplifying 0 = -3x + 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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