y[k]=rx[k]

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Solution for y[k]=rx[k] equation:


Simplifying
y[k] = rx[k]

Multiply y * k
ky = rx[k]

Multiply rx * k
ky = krx

Solving
ky = krx

Solving for variable 'k'.

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

Add '-1krx' to each side of the equation.
-1krx + ky = krx + -1krx

Combine like terms: krx + -1krx = 0
-1krx + ky = 0

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

Subproblem 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 = 0

Subproblem 2

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