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Simplifying 3x + 6y = 24forx Solving 3x + 6y = 24forx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24forx' to each side of the equation. 3x + -24forx + 6y = 24forx + -24forx Reorder the terms: -24forx + 3x + 6y = 24forx + -24forx Combine like terms: 24forx + -24forx = 0 -24forx + 3x + 6y = 0 Add '-6y' to each side of the equation. -24forx + 3x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -24forx + 3x + 0 = 0 + -6y -24forx + 3x = 0 + -6y Remove the zero: -24forx + 3x = -6y Combine like terms: -6y + 6y = 0 -24forx + 3x + 6y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8forx + x + 2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8forx + x + 2y)' equal to zero and attempt to solve: Simplifying -8forx + x + 2y = 0 Solving -8forx + 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. -8forx + x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -8forx + x + 0 = 0 + -2y -8forx + x = 0 + -2y Remove the zero: -8forx + 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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