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Simplifying 4x + 6y = 12forx Solving 4x + 6y = 12forx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12forx' to each side of the equation. 4x + -12forx + 6y = 12forx + -12forx Reorder the terms: -12forx + 4x + 6y = 12forx + -12forx Combine like terms: 12forx + -12forx = 0 -12forx + 4x + 6y = 0 Add '-6y' to each side of the equation. -12forx + 4x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -12forx + 4x + 0 = 0 + -6y -12forx + 4x = 0 + -6y Remove the zero: -12forx + 4x = -6y Combine like terms: -6y + 6y = 0 -12forx + 4x + 6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6forx + 2x + 3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6forx + 2x + 3y)' equal to zero and attempt to solve: Simplifying -6forx + 2x + 3y = 0 Solving -6forx + 2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -6forx + 2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -6forx + 2x + 0 = 0 + -3y -6forx + 2x = 0 + -3y Remove the zero: -6forx + 2x = -3y 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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