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Simplifying Xy2 + z3 = 1 Solving y2X + z3 = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1z3' to each side of the equation. y2X + z3 + -1z3 = 1 + -1z3 Combine like terms: z3 + -1z3 = 0 y2X + 0 = 1 + -1z3 y2X = 1 + -1z3 Divide each side by 'X'. y2 = X-1 + -1z3X-1 Simplifying y2 = X-1 + -1z3X-1 Reorder the terms: -1X-1 + y2 + z3X-1 = X-1 + -1z3X-1 + -1X-1 + z3X-1 Reorder the terms: -1X-1 + y2 + z3X-1 = X-1 + -1X-1 + -1z3X-1 + z3X-1 Combine like terms: X-1 + -1X-1 = 0 -1X-1 + y2 + z3X-1 = 0 + -1z3X-1 + z3X-1 -1X-1 + y2 + z3X-1 = -1z3X-1 + z3X-1 Combine like terms: -1z3X-1 + z3X-1 = 0 -1X-1 + y2 + z3X-1 = 0 Factor out the Greatest Common Factor (GCF), 'X-1'. X-1(-1 + y2X + z3) = 0Subproblem 1
Set the factor 'X-1' equal to zero and attempt to solve: Simplifying X-1 = 0 Solving X-1 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1X-1' to each side of the equation. X-1 + -1X-1 = 0 + -1X-1 Remove the zero: 0 = -1X-1 Simplifying 0 = -1X-1 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 + y2X + z3)' equal to zero and attempt to solve: Simplifying -1 + y2X + z3 = 0 Solving -1 + y2X + z3 = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + y2X + 1 + z3 = 0 + 1 Reorder the terms: -1 + 1 + y2X + z3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y2X + z3 = 0 + 1 y2X + z3 = 0 + 1 Combine like terms: 0 + 1 = 1 y2X + z3 = 1 Add '-1z3' to each side of the equation. y2X + z3 + -1z3 = 1 + -1z3 Combine like terms: z3 + -1z3 = 0 y2X + 0 = 1 + -1z3 y2X = 1 + -1z3 Divide each side by 'X'. y2 = X-1 + -1z3X-1 Simplifying y2 = X-1 + -1z3X-1 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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