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Simplifying 10tx + -5ty = 0 Solving 10tx + -5ty = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5t'. 5t(2x + -1y) = 0 Ignore the factor 5.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(2x + -1y)' equal to zero and attempt to solve: Simplifying 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing t to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + -1y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + -1y = 0 + -2x -1y = 0 + -2x Remove the zero: -1y = -2x Add 'y' to each side of the equation. -1y + y = -2x + y Combine like terms: -1y + y = 0 0 = -2x + y Simplifying 0 = -2x + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
t = {0}
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