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Simplifying 0 = VAR(2X + -1Y) 0 = (2X * ARV + -1Y * ARV) 0 = (2ARVX + -1ARVY) Solving 0 = 2ARVX + -1ARVY Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2ARVX' to each side of the equation. 0 + -2ARVX = 2ARVX + -2ARVX + -1ARVY Remove the zero: -2ARVX = 2ARVX + -2ARVX + -1ARVY Combine like terms: 2ARVX + -2ARVX = 0 -2ARVX = 0 + -1ARVY -2ARVX = -1ARVY Add 'ARVY' to each side of the equation. -2ARVX + ARVY = -1ARVY + ARVY Combine like terms: -1ARVY + ARVY = 0 -2ARVX + ARVY = 0 Factor out the Greatest Common Factor (GCF), 'ARV'. ARV(-2X + Y) = 0## Subproblem 1

Set the factor 'ARV' equal to zero and attempt to solve: Simplifying ARV = 0 Solving ARV = 0 Move all terms containing A to the left, all other terms to the right. Simplifying ARV = 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 '(-2X + Y)' equal to zero and attempt to solve: Simplifying -2X + Y = 0 Solving -2X + Y = 0 Move all terms containing A to the left, all other terms to the right. Add '2X' to each side of the equation. -2X + 2X + Y = 0 + 2X Combine like terms: -2X + 2X = 0 0 + Y = 0 + 2X Y = 0 + 2X Remove the zero: Y = 2X Add '-1Y' to each side of the equation. Y + -1Y = 2X + -1Y Combine like terms: Y + -1Y = 0 0 = 2X + -1Y Simplifying 0 = 2X + -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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