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