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