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Simplifying 78x + 22y = 100forx Solving 78x + 22y = 100forx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100forx' to each side of the equation. 78x + -100forx + 22y = 100forx + -100forx Reorder the terms: -100forx + 78x + 22y = 100forx + -100forx Combine like terms: 100forx + -100forx = 0 -100forx + 78x + 22y = 0 Add '-22y' to each side of the equation. -100forx + 78x + 22y + -22y = 0 + -22y Combine like terms: 22y + -22y = 0 -100forx + 78x + 0 = 0 + -22y -100forx + 78x = 0 + -22y Remove the zero: -100forx + 78x = -22y Combine like terms: -22y + 22y = 0 -100forx + 78x + 22y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-50forx + 39x + 11y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-50forx + 39x + 11y)' equal to zero and attempt to solve: Simplifying -50forx + 39x + 11y = 0 Solving -50forx + 39x + 11y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. -50forx + 39x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 -50forx + 39x + 0 = 0 + -11y -50forx + 39x = 0 + -11y Remove the zero: -50forx + 39x = -11y 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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