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Simplifying (X + -1y) * dx = xdy Reorder the terms for easier multiplication: dx(X + -1y) = xdy (X * dx + -1y * dx) = xdy (dxX + -1dxy) = xdy Solving dxX + -1dxy = dxy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy' to each side of the equation. dxX + -1dxy + -1dxy = dxy + -1dxy Combine like terms: -1dxy + -1dxy = -2dxy dxX + -2dxy = dxy + -1dxy Combine like terms: dxy + -1dxy = 0 dxX + -2dxy = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(X + -2y) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(X + -2y)' equal to zero and attempt to solve: Simplifying X + -2y = 0 Solving X + -2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1X' to each side of the equation. X + -1X + -2y = 0 + -1X Combine like terms: X + -1X = 0 0 + -2y = 0 + -1X -2y = 0 + -1X Remove the zero: -2y = -1X Add '2y' to each side of the equation. -2y + 2y = -1X + 2y Combine like terms: -2y + 2y = 0 0 = -1X + 2y Simplifying 0 = -1X + 2y 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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