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Simplifying 14x + 16y = 30xy Solving 14x + 16y = 30xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30xy' to each side of the equation. 14x + -30xy + 16y = 30xy + -30xy Combine like terms: 30xy + -30xy = 0 14x + -30xy + 16y = 0 Add '-16y' to each side of the equation. 14x + -30xy + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 14x + -30xy + 0 = 0 + -16y 14x + -30xy = 0 + -16y Remove the zero: 14x + -30xy = -16y Combine like terms: -16y + 16y = 0 14x + -30xy + 16y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7x + -15xy + 8y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7x + -15xy + 8y)' equal to zero and attempt to solve: Simplifying 7x + -15xy + 8y = 0 Solving 7x + -15xy + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 7x + -15xy + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 7x + -15xy + 0 = 0 + -8y 7x + -15xy = 0 + -8y Remove the zero: 7x + -15xy = -8y 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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