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Simplifying 8x + 32y = 24forx Solving 8x + 32y = 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. 8x + -24forx + 32y = 24forx + -24forx Reorder the terms: -24forx + 8x + 32y = 24forx + -24forx Combine like terms: 24forx + -24forx = 0 -24forx + 8x + 32y = 0 Add '-32y' to each side of the equation. -24forx + 8x + 32y + -32y = 0 + -32y Combine like terms: 32y + -32y = 0 -24forx + 8x + 0 = 0 + -32y -24forx + 8x = 0 + -32y Remove the zero: -24forx + 8x = -32y Combine like terms: -32y + 32y = 0 -24forx + 8x + 32y = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-3forx + x + 4y) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-3forx + x + 4y)' equal to zero and attempt to solve: Simplifying -3forx + x + 4y = 0 Solving -3forx + x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -3forx + x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -3forx + x + 0 = 0 + -4y -3forx + x = 0 + -4y Remove the zero: -3forx + x = -4y 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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