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Simplifying 6y + -3x = 18forx Reorder the terms: -3x + 6y = 18forx Solving -3x + 6y = 18forx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18forx' to each side of the equation. -3x + -18forx + 6y = 18forx + -18forx Reorder the terms: -18forx + -3x + 6y = 18forx + -18forx Combine like terms: 18forx + -18forx = 0 -18forx + -3x + 6y = 0 Add '-6y' to each side of the equation. -18forx + -3x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -18forx + -3x + 0 = 0 + -6y -18forx + -3x = 0 + -6y Remove the zero: -18forx + -3x = -6y Combine like terms: -6y + 6y = 0 -18forx + -3x + 6y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-6forx + -1x + 2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6forx + -1x + 2y)' equal to zero and attempt to solve: Simplifying -6forx + -1x + 2y = 0 Solving -6forx + -1x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -6forx + -1x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -6forx + -1x + 0 = 0 + -2y -6forx + -1x = 0 + -2y Remove the zero: -6forx + -1x = -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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