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Simplifying 4kx + 8ky = 20x + 10ky Reorder the terms: 4kx + 8ky = 10ky + 20x Solving 4kx + 8ky = 10ky + 20x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10ky' to each side of the equation. 4kx + 8ky + -10ky = 10ky + -10ky + 20x Combine like terms: 8ky + -10ky = -2ky 4kx + -2ky = 10ky + -10ky + 20x Combine like terms: 10ky + -10ky = 0 4kx + -2ky = 0 + 20x 4kx + -2ky = 20x Combine like terms: 20x + -20x = 0 4kx + -2ky + -20x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2kx + -1ky + -10x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2kx + -1ky + -10x)' equal to zero and attempt to solve: Simplifying 2kx + -1ky + -10x = 0 Solving 2kx + -1ky + -10x = 0 Move all terms containing k to the left, all other terms to the right. Add '10x' to each side of the equation. 2kx + -1ky + -10x + 10x = 0 + 10x Combine like terms: -10x + 10x = 0 2kx + -1ky + 0 = 0 + 10x 2kx + -1ky = 0 + 10x Remove the zero: 2kx + -1ky = 10x 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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