Xy=zfory

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Solution for Xy=zfory equation:


Simplifying
Xy = zfory

Solving
yX = foryz

Solving for variable 'y'.

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

Add '-1foryz' to each side of the equation.
-1foryz + yX = foryz + -1foryz

Combine like terms: foryz + -1foryz = 0
-1foryz + yX = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1forz + X) = 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 '(-1forz + X)' equal to zero and attempt to solve: Simplifying -1forz + X = 0 Reorder the terms: X + -1forz = 0 Solving X + -1forz = 0 Move all terms containing y to the left, all other terms to the right. Add '-1X' to each side of the equation. X + -1X + -1forz = 0 + -1X Combine like terms: X + -1X = 0 0 + -1forz = 0 + -1X -1forz = 0 + -1X Remove the zero: -1forz = -1X Add 'forz' to each side of the equation. -1forz + forz = -1X + forz Combine like terms: -1forz + forz = 0 0 = -1X + forz Simplifying 0 = -1X + forz 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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