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Simplifying 8x + 13y = 130whatisx + y Solving 8x + 13y = 130ahistwx + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-130ahistwx' to each side of the equation. 8x + -130ahistwx + 13y = 130ahistwx + -130ahistwx + y Reorder the terms: -130ahistwx + 8x + 13y = 130ahistwx + -130ahistwx + y Combine like terms: 130ahistwx + -130ahistwx = 0 -130ahistwx + 8x + 13y = 0 + y -130ahistwx + 8x + 13y = y Add '-13y' to each side of the equation. -130ahistwx + 8x + 13y + -13y = y + -13y Combine like terms: 13y + -13y = 0 -130ahistwx + 8x + 0 = y + -13y -130ahistwx + 8x = y + -13y Combine like terms: y + -13y = -12y -130ahistwx + 8x = -12y Combine like terms: -12y + 12y = 0 -130ahistwx + 8x + 12y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-65ahistwx + 4x + 6y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-65ahistwx + 4x + 6y)' equal to zero and attempt to solve: Simplifying -65ahistwx + 4x + 6y = 0 Solving -65ahistwx + 4x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -65ahistwx + 4x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -65ahistwx + 4x + 0 = 0 + -6y -65ahistwx + 4x = 0 + -6y Remove the zero: -65ahistwx + 4x = -6y 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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