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Simplifying 44x(270 + -1y) + 62y = 48(270) (270 * 44x + -1y * 44x) + 62y = 48(270) (11880x + -44xy) + 62y = 48(270) Multiply 48 * 270 11880x + -44xy + 62y = 12960 Solving 11880x + -44xy + 62y = 12960 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62y' to each side of the equation. 11880x + -44xy + 62y + -62y = 12960 + -62y Combine like terms: 62y + -62y = 0 11880x + -44xy + 0 = 12960 + -62y 11880x + -44xy = 12960 + -62y Reorder the terms: -12960 + 11880x + -44xy + 62y = 12960 + -62y + -12960 + 62y Reorder the terms: -12960 + 11880x + -44xy + 62y = 12960 + -12960 + -62y + 62y Combine like terms: 12960 + -12960 = 0 -12960 + 11880x + -44xy + 62y = 0 + -62y + 62y -12960 + 11880x + -44xy + 62y = -62y + 62y Combine like terms: -62y + 62y = 0 -12960 + 11880x + -44xy + 62y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6480 + 5940x + -22xy + 31y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6480 + 5940x + -22xy + 31y)' equal to zero and attempt to solve: Simplifying -6480 + 5940x + -22xy + 31y = 0 Solving -6480 + 5940x + -22xy + 31y = 0 Move all terms containing x to the left, all other terms to the right. Add '6480' to each side of the equation. -6480 + 5940x + -22xy + 6480 + 31y = 0 + 6480 Reorder the terms: -6480 + 6480 + 5940x + -22xy + 31y = 0 + 6480 Combine like terms: -6480 + 6480 = 0 0 + 5940x + -22xy + 31y = 0 + 6480 5940x + -22xy + 31y = 0 + 6480 Combine like terms: 0 + 6480 = 6480 5940x + -22xy + 31y = 6480 Add '-31y' to each side of the equation. 5940x + -22xy + 31y + -31y = 6480 + -31y Combine like terms: 31y + -31y = 0 5940x + -22xy + 0 = 6480 + -31y 5940x + -22xy = 6480 + -31y 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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