3y=xy

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Solution for 3y=xy equation:


Simplifying
3y = xy

Solving
3y = xy

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1xy' to each side of the equation.
-1xy + 3y = xy + -1xy

Combine like terms: xy + -1xy = 0
-1xy + 3y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1x + 3) = 0

Subproblem 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 = 0

Subproblem 2

Set the factor '(-1x + 3)' equal to zero and attempt to solve: Simplifying -1x + 3 = 0 Reorder the terms: 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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