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Simplifying 6x + 3y = 9xy Solving 6x + 3y = 9xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9xy' to each side of the equation. 6x + -9xy + 3y = 9xy + -9xy Combine like terms: 9xy + -9xy = 0 6x + -9xy + 3y = 0 Add '-3y' to each side of the equation. 6x + -9xy + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 6x + -9xy + 0 = 0 + -3y 6x + -9xy = 0 + -3y Remove the zero: 6x + -9xy = -3y Combine like terms: -3y + 3y = 0 6x + -9xy + 3y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2x + -3xy + y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2x + -3xy + y)' equal to zero and attempt to solve: Simplifying 2x + -3xy + y = 0 Solving 2x + -3xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + -3xy + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x + -3xy + 0 = 0 + -1y 2x + -3xy = 0 + -1y Remove the zero: 2x + -3xy = -1y 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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