y[n]+0.4y[n-1]=3x[n]

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Solution for y[n]+0.4y[n-1]=3x[n] equation: 


Simplifying
y[n] + 0.4y[n + -1] = 3x[n]

Multiply y * n
ny + 0.4y[n + -1] = 3x[n]

Reorder the terms:
ny + 0.4y[-1 + n] = 3x[n]
ny + [-1 * 0.4y + n * 0.4y] = 3x[n]

Reorder the terms:
ny + [0.4ny + -0.4y] = 3x[n]
ny + [0.4ny + -0.4y] = 3x[n]

Combine like terms: ny + 0.4ny = 1.4ny
1.4ny + -0.4y = 3x[n]

Multiply x * n
1.4ny + -0.4y = 3nx

Solving
1.4ny + -0.4y = 3nx

Solving for variable 'n'.

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

Add '-3nx' to each side of the equation.
1.4ny + -3nx + -0.4y = 3nx + -3nx

Reorder the terms:
-3nx + 1.4ny + -0.4y = 3nx + -3nx

Combine like terms: 3nx + -3nx = 0
-3nx + 1.4ny + -0.4y = 0

Add '0.4y' to each side of the equation.
-3nx + 1.4ny + -0.4y + 0.4y = 0 + 0.4y

Combine like terms: -0.4y + 0.4y = 0.0
-3nx + 1.4ny + 0.0 = 0 + 0.4y
-3nx + 1.4ny = 0 + 0.4y
Remove the zero:
-3nx + 1.4ny = 0.4y

Combine like terms: 0.4y + -0.4y = 0.0
-3nx + 1.4ny + -0.4y = 0.0

The solution to this equation could not be determined.

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