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Simplifying 36xy + 6x + 6y + 1 = 19 * 13 Reorder the terms: 1 + 6x + 36xy + 6y = 19 * 13 Multiply 19 * 13 1 + 6x + 36xy + 6y = 247 Solving 1 + 6x + 36xy + 6y = 247 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6x + 36xy + -1 + 6y = 247 + -1 Reorder the terms: 1 + -1 + 6x + 36xy + 6y = 247 + -1 Combine like terms: 1 + -1 = 0 0 + 6x + 36xy + 6y = 247 + -1 6x + 36xy + 6y = 247 + -1 Combine like terms: 247 + -1 = 246 6x + 36xy + 6y = 246 Add '-6y' to each side of the equation. 6x + 36xy + 6y + -6y = 246 + -6y Combine like terms: 6y + -6y = 0 6x + 36xy + 0 = 246 + -6y 6x + 36xy = 246 + -6y Reorder the terms: -246 + 6x + 36xy + 6y = 246 + -6y + -246 + 6y Reorder the terms: -246 + 6x + 36xy + 6y = 246 + -246 + -6y + 6y Combine like terms: 246 + -246 = 0 -246 + 6x + 36xy + 6y = 0 + -6y + 6y -246 + 6x + 36xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -246 + 6x + 36xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-41 + x + 6xy + y) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-41 + x + 6xy + y)' equal to zero and attempt to solve: Simplifying -41 + x + 6xy + y = 0 Solving -41 + x + 6xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + x + 6xy + 41 + y = 0 + 41 Reorder the terms: -41 + 41 + x + 6xy + y = 0 + 41 Combine like terms: -41 + 41 = 0 0 + x + 6xy + y = 0 + 41 x + 6xy + y = 0 + 41 Combine like terms: 0 + 41 = 41 x + 6xy + y = 41 Add '-1y' to each side of the equation. x + 6xy + y + -1y = 41 + -1y Combine like terms: y + -1y = 0 x + 6xy + 0 = 41 + -1y x + 6xy = 41 + -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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