y(t)=3x(t)

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Solution for y(t)=3x(t) equation: 


Simplifying
y(t) = 3x(t)

Multiply y * t
ty = 3x(t)

Multiply x * t
ty = 3tx

Solving
ty = 3tx

Solving for variable 't'.

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

Add '-3tx' to each side of the equation.
-3tx + ty = 3tx + -3tx

Combine like terms: 3tx + -3tx = 0
-3tx + ty = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-3x + y) = 0


Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0

Subproblem 2
Set the factor '(-3x + y)' equal to zero and attempt to solve:

Simplifying
-3x + y = 0

Solving
-3x + y = 0

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

Add '3x' to each side of the equation.
-3x + 3x + y = 0 + 3x

Combine like terms: -3x + 3x = 0
0 + y = 0 + 3x
y = 0 + 3x
Remove the zero:
y = 3x

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

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

Simplifying
0 = 3x + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
t = {0}

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