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Simplifying 7kx = 4ky Solving 7kx = 4ky Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4ky' to each side of the equation. 7kx + -4ky = 4ky + -4ky Combine like terms: 4ky + -4ky = 0 7kx + -4ky = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(7x + -4y) = 0Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(7x + -4y)' equal to zero and attempt to solve: Simplifying 7x + -4y = 0 Solving 7x + -4y = 0 Move all terms containing k to the left, all other terms to the right. Add '-7x' to each side of the equation. 7x + -7x + -4y = 0 + -7x Combine like terms: 7x + -7x = 0 0 + -4y = 0 + -7x -4y = 0 + -7x Remove the zero: -4y = -7x Add '4y' to each side of the equation. -4y + 4y = -7x + 4y Combine like terms: -4y + 4y = 0 0 = -7x + 4y Simplifying 0 = -7x + 4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
k = {0}
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