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Simplifying VB = YB + RB Reorder the terms: BV = BR + BY Solving BV = BR + BY Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-1BR' to each side of the equation. -1BR + BV = BR + -1BR + BY Combine like terms: BR + -1BR = 0 -1BR + BV = 0 + BY -1BR + BV = BY Add '-1BY' to each side of the equation. -1BR + BV + -1BY = BY + -1BY Combine like terms: BY + -1BY = 0 -1BR + BV + -1BY = 0 Factor out the Greatest Common Factor (GCF), 'B'. B(-1R + V + -1Y) = 0Subproblem 1
Set the factor 'B' equal to zero and attempt to solve: Simplifying B = 0 Solving B = 0 Move all terms containing B to the left, all other terms to the right. Simplifying B = 0Subproblem 2
Set the factor '(-1R + V + -1Y)' equal to zero and attempt to solve: Simplifying -1R + V + -1Y = 0 Solving -1R + V + -1Y = 0 Move all terms containing B to the left, all other terms to the right. Add 'R' to each side of the equation. -1R + V + R + -1Y = 0 + R Reorder the terms: -1R + R + V + -1Y = 0 + R Combine like terms: -1R + R = 0 0 + V + -1Y = 0 + R V + -1Y = 0 + R Remove the zero: V + -1Y = R Add '-1V' to each side of the equation. V + -1V + -1Y = R + -1V Combine like terms: V + -1V = 0 0 + -1Y = R + -1V -1Y = R + -1V Add 'Y' to each side of the equation. -1Y + Y = R + -1V + Y Combine like terms: -1Y + Y = 0 0 = R + -1V + Y Simplifying 0 = R + -1V + Y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
B = {0}
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