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