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Simplifying 30x + 30y = 10xy Solving 30x + 30y = 10xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10xy' to each side of the equation. 30x + -10xy + 30y = 10xy + -10xy Combine like terms: 10xy + -10xy = 0 30x + -10xy + 30y = 0 Add '-30y' to each side of the equation. 30x + -10xy + 30y + -30y = 0 + -30y Combine like terms: 30y + -30y = 0 30x + -10xy + 0 = 0 + -30y 30x + -10xy = 0 + -30y Remove the zero: 30x + -10xy = -30y Combine like terms: -30y + 30y = 0 30x + -10xy + 30y = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(3x + -1xy + 3y) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(3x + -1xy + 3y)' equal to zero and attempt to solve: Simplifying 3x + -1xy + 3y = 0 Solving 3x + -1xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 3x + -1xy + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 3x + -1xy + 0 = 0 + -3y 3x + -1xy = 0 + -3y Remove the zero: 3x + -1xy = -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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