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