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Simplifying (y + 2) * x + (x + 10) * y = 60 Reorder the terms: (2 + y) * x + (x + 10) * y = 60 Reorder the terms for easier multiplication: x(2 + y) + (x + 10) * y = 60 (2 * x + y * x) + (x + 10) * y = 60 (2x + xy) + (x + 10) * y = 60 Reorder the terms: 2x + xy + (10 + x) * y = 60 Reorder the terms for easier multiplication: 2x + xy + y(10 + x) = 60 2x + xy + (10 * y + x * y) = 60 Reorder the terms: 2x + xy + (xy + 10y) = 60 2x + xy + (xy + 10y) = 60 Combine like terms: xy + xy = 2xy 2x + 2xy + 10y = 60 Solving 2x + 2xy + 10y = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 2x + 2xy + 10y + -10y = 60 + -10y Combine like terms: 10y + -10y = 0 2x + 2xy + 0 = 60 + -10y 2x + 2xy = 60 + -10y Reorder the terms: -60 + 2x + 2xy + 10y = 60 + -10y + -60 + 10y Reorder the terms: -60 + 2x + 2xy + 10y = 60 + -60 + -10y + 10y Combine like terms: 60 + -60 = 0 -60 + 2x + 2xy + 10y = 0 + -10y + 10y -60 + 2x + 2xy + 10y = -10y + 10y Combine like terms: -10y + 10y = 0 -60 + 2x + 2xy + 10y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + x + xy + 5y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-30 + x + xy + 5y)' equal to zero and attempt to solve: Simplifying -30 + x + xy + 5y = 0 Solving -30 + x + xy + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + x + xy + 30 + 5y = 0 + 30 Reorder the terms: -30 + 30 + x + xy + 5y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + x + xy + 5y = 0 + 30 x + xy + 5y = 0 + 30 Combine like terms: 0 + 30 = 30 x + xy + 5y = 30 Add '-5y' to each side of the equation. x + xy + 5y + -5y = 30 + -5y Combine like terms: 5y + -5y = 0 x + xy + 0 = 30 + -5y x + xy = 30 + -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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