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