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Simplifying 10y = 3xfory Solving 10y = 3forxy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3forxy' to each side of the equation. -3forxy + 10y = 3forxy + -3forxy Combine like terms: 3forxy + -3forxy = 0 -3forxy + 10y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-3forx + 10) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-3forx + 10)' equal to zero and attempt to solve: Simplifying -3forx + 10 = 0 Reorder the terms: 10 + -3forx = 0 Solving 10 + -3forx = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3forx = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3forx = 0 + -10 -3forx = 0 + -10 Combine like terms: 0 + -10 = -10 -3forx = -10 Add '3forx' to each side of the equation. -3forx + 3forx = -10 + 3forx Combine like terms: -3forx + 3forx = 0 0 = -10 + 3forx Simplifying 0 = -10 + 3forx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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