y(n)=x(n)-0.5x(n-1)-0.7x(n-2)

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Solution for y(n)=x(n)-0.5x(n-1)-0.7x(n-2) equation:


Simplifying
y(n) = x(n) + -0.5x(n + -1) + -0.7x(n + -2)

Multiply y * n
ny = x(n) + -0.5x(n + -1) + -0.7x(n + -2)

Multiply x * n
ny = nx + -0.5x(n + -1) + -0.7x(n + -2)

Reorder the terms:
ny = nx + -0.5x(-1 + n) + -0.7x(n + -2)
ny = nx + (-1 * -0.5x + n * -0.5x) + -0.7x(n + -2)

Reorder the terms:
ny = nx + (-0.5nx + 0.5x) + -0.7x(n + -2)
ny = nx + (-0.5nx + 0.5x) + -0.7x(n + -2)

Reorder the terms:
ny = nx + -0.5nx + 0.5x + -0.7x(-2 + n)
ny = nx + -0.5nx + 0.5x + (-2 * -0.7x + n * -0.7x)

Reorder the terms:
ny = nx + -0.5nx + 0.5x + (-0.7nx + 1.4x)
ny = nx + -0.5nx + 0.5x + (-0.7nx + 1.4x)

Reorder the terms:
ny = nx + -0.5nx + -0.7nx + 0.5x + 1.4x

Combine like terms: nx + -0.5nx = 0.5nx
ny = 0.5nx + -0.7nx + 0.5x + 1.4x

Combine like terms: 0.5nx + -0.7nx = -0.2nx
ny = -0.2nx + 0.5x + 1.4x

Combine like terms: 0.5x + 1.4x = 1.9x
ny = -0.2nx + 1.9x

Solving
ny = -0.2nx + 1.9x

Solving for variable 'n'.

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

Add '0.2nx' to each side of the equation.
0.2nx + ny = -0.2nx + 0.2nx + 1.9x

Combine like terms: -0.2nx + 0.2nx = 0.0
0.2nx + ny = 0.0 + 1.9x
0.2nx + ny = 1.9x

Combine like terms: 1.9x + -1.9x = 0.0
0.2nx + ny + -1.9x = 0.0

The solution to this equation could not be determined.

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