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Simplifying x[n] = y[n] + -0.1y[n + -1] Multiply x * n nx = y[n] + -0.1y[n + -1] Multiply y * n nx = ny + -0.1y[n + -1] Reorder the terms: nx = ny + -0.1y[-1 + n] nx = ny + [-1 * -0.1y + n * -0.1y] Reorder the terms: nx = ny + [-0.1ny + 0.1y] nx = ny + [-0.1ny + 0.1y] Combine like terms: ny + -0.1ny = 0.9ny nx = 0.9ny + 0.1y Solving nx = 0.9ny + 0.1y Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.9ny' to each side of the equation. nx + -0.9ny = 0.9ny + -0.9ny + 0.1y Combine like terms: 0.9ny + -0.9ny = 0.0 nx + -0.9ny = 0.0 + 0.1y nx + -0.9ny = 0.1y Combine like terms: 0.1y + -0.1y = 0.0 nx + -0.9ny + -0.1y = 0.0 The solution to this equation could not be determined.
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