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Simplifying 2x + -1xy = 3(2y + -1xy) Reorder the terms: 2x + -1xy = 3(-1xy + 2y) 2x + -1xy = (-1xy * 3 + 2y * 3) 2x + -1xy = (-3xy + 6y) Solving 2x + -1xy = -3xy + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3xy' to each side of the equation. 2x + -1xy + 3xy = -3xy + 3xy + 6y Combine like terms: -1xy + 3xy = 2xy 2x + 2xy = -3xy + 3xy + 6y Combine like terms: -3xy + 3xy = 0 2x + 2xy = 0 + 6y 2x + 2xy = 6y Combine like terms: 6y + -6y = 0 2x + 2xy + -6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(x + xy + -3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + xy + -3y)' equal to zero and attempt to solve: Simplifying x + xy + -3y = 0 Solving x + xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x + xy + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x + xy + 0 = 0 + 3y x + xy = 0 + 3y Remove the zero: x + xy = 3y 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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