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Simplifying 7(y + -1x) = (3x + 2)(x + -1y) Reorder the terms: 7(-1x + y) = (3x + 2)(x + -1y) (-1x * 7 + y * 7) = (3x + 2)(x + -1y) (-7x + 7y) = (3x + 2)(x + -1y) Reorder the terms: -7x + 7y = (2 + 3x)(x + -1y) Multiply (2 + 3x) * (x + -1y) -7x + 7y = (2(x + -1y) + 3x * (x + -1y)) -7x + 7y = ((x * 2 + -1y * 2) + 3x * (x + -1y)) -7x + 7y = ((2x + -2y) + 3x * (x + -1y)) -7x + 7y = (2x + -2y + (x * 3x + -1y * 3x)) Reorder the terms: -7x + 7y = (2x + -2y + (-3xy + 3x2)) -7x + 7y = (2x + -2y + (-3xy + 3x2)) Reorder the terms: -7x + 7y = (2x + -3xy + 3x2 + -2y) -7x + 7y = (2x + -3xy + 3x2 + -2y) Solving -7x + 7y = 2x + -3xy + 3x2 + -2y Solving for variable 'x'. Reorder the terms: -7x + -2x + 3xy + -3x2 + 7y + 2y = 2x + -3xy + 3x2 + -2y + -2x + 3xy + -3x2 + 2y Combine like terms: -7x + -2x = -9x -9x + 3xy + -3x2 + 7y + 2y = 2x + -3xy + 3x2 + -2y + -2x + 3xy + -3x2 + 2y Combine like terms: 7y + 2y = 9y -9x + 3xy + -3x2 + 9y = 2x + -3xy + 3x2 + -2y + -2x + 3xy + -3x2 + 2y Reorder the terms: -9x + 3xy + -3x2 + 9y = 2x + -2x + -3xy + 3xy + 3x2 + -3x2 + -2y + 2y Combine like terms: 2x + -2x = 0 -9x + 3xy + -3x2 + 9y = 0 + -3xy + 3xy + 3x2 + -3x2 + -2y + 2y -9x + 3xy + -3x2 + 9y = -3xy + 3xy + 3x2 + -3x2 + -2y + 2y Combine like terms: -3xy + 3xy = 0 -9x + 3xy + -3x2 + 9y = 0 + 3x2 + -3x2 + -2y + 2y -9x + 3xy + -3x2 + 9y = 3x2 + -3x2 + -2y + 2y Combine like terms: 3x2 + -3x2 = 0 -9x + 3xy + -3x2 + 9y = 0 + -2y + 2y -9x + 3xy + -3x2 + 9y = -2y + 2y Combine like terms: -2y + 2y = 0 -9x + 3xy + -3x2 + 9y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3x + xy + -1x2 + 3y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3x + xy + -1x2 + 3y)' equal to zero and attempt to solve: Simplifying -3x + xy + -1x2 + 3y = 0 Solving -3x + xy + -1x2 + 3y = 0 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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