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Simplifying (1 + -1i) * u + v = 3 + -1i Reorder the terms for easier multiplication: u(1 + -1i) + v = 3 + -1i (1 * u + -1i * u) + v = 3 + -1i Reorder the terms: (-1iu + 1u) + v = 3 + -1i (-1iu + 1u) + v = 3 + -1i Solving -1iu + 1u + v = 3 + -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. -1iu + 1u + i + v = 3 + -1i + i Reorder the terms: i + -1iu + 1u + v = 3 + -1i + i Combine like terms: -1i + i = 0 i + -1iu + 1u + v = 3 + 0 i + -1iu + 1u + v = 3 Add '-1u' to each side of the equation. i + -1iu + 1u + -1u + v = 3 + -1u Combine like terms: 1u + -1u = 0 i + -1iu + 0 + v = 3 + -1u i + -1iu + v = 3 + -1u Add '-1v' to each side of the equation. i + -1iu + v + -1v = 3 + -1u + -1v Combine like terms: v + -1v = 0 i + -1iu + 0 = 3 + -1u + -1v i + -1iu = 3 + -1u + -1v Reorder the terms: -3 + i + -1iu + u + v = 3 + -1u + -1v + -3 + u + v Reorder the terms: -3 + i + -1iu + u + v = 3 + -3 + -1u + u + -1v + v Combine like terms: 3 + -3 = 0 -3 + i + -1iu + u + v = 0 + -1u + u + -1v + v -3 + i + -1iu + u + v = -1u + u + -1v + v Combine like terms: -1u + u = 0 -3 + i + -1iu + u + v = 0 + -1v + v -3 + i + -1iu + u + v = -1v + v Combine like terms: -1v + v = 0 -3 + i + -1iu + u + v = 0 The solution to this equation could not be determined.
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