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Simplifying 2x + 3y + 16 = 5y + 4xfory Reorder the terms: 16 + 2x + 3y = 5y + 4xfory Reorder the terms: 16 + 2x + 3y = 4forxy + 5y Solving 16 + 2x + 3y = 4forxy + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4forxy' to each side of the equation. 16 + 2x + -4forxy + 3y = 4forxy + -4forxy + 5y Reorder the terms: 16 + -4forxy + 2x + 3y = 4forxy + -4forxy + 5y Combine like terms: 4forxy + -4forxy = 0 16 + -4forxy + 2x + 3y = 0 + 5y 16 + -4forxy + 2x + 3y = 5y Add '-16' to each side of the equation. 16 + -4forxy + 2x + -16 + 3y = -16 + 5y Reorder the terms: 16 + -16 + -4forxy + 2x + 3y = -16 + 5y Combine like terms: 16 + -16 = 0 0 + -4forxy + 2x + 3y = -16 + 5y -4forxy + 2x + 3y = -16 + 5y Add '-3y' to each side of the equation. -4forxy + 2x + 3y + -3y = -16 + 5y + -3y Combine like terms: 3y + -3y = 0 -4forxy + 2x + 0 = -16 + 5y + -3y -4forxy + 2x = -16 + 5y + -3y Combine like terms: 5y + -3y = 2y -4forxy + 2x = -16 + 2y Reorder the terms: 16 + -4forxy + 2x + -2y = -16 + 2y + 16 + -2y Reorder the terms: 16 + -4forxy + 2x + -2y = -16 + 16 + 2y + -2y Combine like terms: -16 + 16 = 0 16 + -4forxy + 2x + -2y = 0 + 2y + -2y 16 + -4forxy + 2x + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 16 + -4forxy + 2x + -2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -2forxy + x + -1y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -2forxy + x + -1y)' equal to zero and attempt to solve: Simplifying 8 + -2forxy + x + -1y = 0 Solving 8 + -2forxy + x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2forxy + x + -8 + -1y = 0 + -8 Reorder the terms: 8 + -8 + -2forxy + x + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2forxy + x + -1y = 0 + -8 -2forxy + x + -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -2forxy + x + -1y = -8 Add 'y' to each side of the equation. -2forxy + x + -1y + y = -8 + y Combine like terms: -1y + y = 0 -2forxy + x + 0 = -8 + y -2forxy + x = -8 + y 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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