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Simplifying 2y + -4x = 8forx Reorder the terms: -4x + 2y = 8forx Solving -4x + 2y = 8forx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8forx' to each side of the equation. -4x + -8forx + 2y = 8forx + -8forx Reorder the terms: -8forx + -4x + 2y = 8forx + -8forx Combine like terms: 8forx + -8forx = 0 -8forx + -4x + 2y = 0 Add '-2y' to each side of the equation. -8forx + -4x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -8forx + -4x + 0 = 0 + -2y -8forx + -4x = 0 + -2y Remove the zero: -8forx + -4x = -2y Combine like terms: -2y + 2y = 0 -8forx + -4x + 2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4forx + -2x + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4forx + -2x + y)' equal to zero and attempt to solve: Simplifying -4forx + -2x + y = 0 Solving -4forx + -2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -4forx + -2x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -4forx + -2x + 0 = 0 + -1y -4forx + -2x = 0 + -1y Remove the zero: -4forx + -2x = -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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