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Simplifying (2 + 1)(x + iy) = 1 + -2i Combine like terms: 2 + 1 = 3 (3)(x + iy) = 1 + -2i Reorder the terms: 3(iy + x) = 1 + -2i (iy * 3 + x * 3) = 1 + -2i (3iy + 3x) = 1 + -2i Solving 3iy + 3x = 1 + -2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2i' to each side of the equation. 3iy + 2i + 3x = 1 + -2i + 2i Reorder the terms: 2i + 3iy + 3x = 1 + -2i + 2i Combine like terms: -2i + 2i = 0 2i + 3iy + 3x = 1 + 0 2i + 3iy + 3x = 1 Add '-3x' to each side of the equation. 2i + 3iy + 3x + -3x = 1 + -3x Combine like terms: 3x + -3x = 0 2i + 3iy + 0 = 1 + -3x 2i + 3iy = 1 + -3x Reorder the terms: -1 + 2i + 3iy + 3x = 1 + -3x + -1 + 3x Reorder the terms: -1 + 2i + 3iy + 3x = 1 + -1 + -3x + 3x Combine like terms: 1 + -1 = 0 -1 + 2i + 3iy + 3x = 0 + -3x + 3x -1 + 2i + 3iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 2i + 3iy + 3x = 0 The solution to this equation could not be determined.
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