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Simplifying 9x + 3y * 2x + -7y = x + 3y Reorder the terms for easier multiplication: 9x + 3 * 2y * x + -7y = x + 3y Multiply 3 * 2 9x + 6y * x + -7y = x + 3y Multiply y * x 9x + 6xy + -7y = x + 3y Solving 9x + 6xy + -7y = x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9x + 6xy + -1x + -7y = x + -1x + 3y Reorder the terms: 9x + -1x + 6xy + -7y = x + -1x + 3y Combine like terms: 9x + -1x = 8x 8x + 6xy + -7y = x + -1x + 3y Combine like terms: x + -1x = 0 8x + 6xy + -7y = 0 + 3y 8x + 6xy + -7y = 3y Add '7y' to each side of the equation. 8x + 6xy + -7y + 7y = 3y + 7y Combine like terms: -7y + 7y = 0 8x + 6xy + 0 = 3y + 7y 8x + 6xy = 3y + 7y Combine like terms: 3y + 7y = 10y 8x + 6xy = 10y Combine like terms: 10y + -10y = 0 8x + 6xy + -10y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4x + 3xy + -5y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4x + 3xy + -5y)' equal to zero and attempt to solve: Simplifying 4x + 3xy + -5y = 0 Solving 4x + 3xy + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 4x + 3xy + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 4x + 3xy + 0 = 0 + 5y 4x + 3xy = 0 + 5y Remove the zero: 4x + 3xy = 5y 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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