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Simplifying (1 + 2i)(x + yi) = 1 + 2y Reorder the terms: (1 + 2i)(iy + x) = 1 + 2y Multiply (1 + 2i) * (iy + x) (1(iy + x) + 2i * (iy + x)) = 1 + 2y ((iy * 1 + x * 1) + 2i * (iy + x)) = 1 + 2y ((1iy + 1x) + 2i * (iy + x)) = 1 + 2y (1iy + 1x + (iy * 2i + x * 2i)) = 1 + 2y Reorder the terms: (1iy + 1x + (2ix + 2i2y)) = 1 + 2y (1iy + 1x + (2ix + 2i2y)) = 1 + 2y Reorder the terms: (2ix + 1iy + 2i2y + 1x) = 1 + 2y (2ix + 1iy + 2i2y + 1x) = 1 + 2y Solving 2ix + 1iy + 2i2y + 1x = 1 + 2y Solving for variable 'i'. Reorder the terms: -1 + 2ix + 1iy + 2i2y + 1x + -2y = 1 + 2y + -1 + -2y Reorder the terms: -1 + 2ix + 1iy + 2i2y + 1x + -2y = 1 + -1 + 2y + -2y Combine like terms: 1 + -1 = 0 -1 + 2ix + 1iy + 2i2y + 1x + -2y = 0 + 2y + -2y -1 + 2ix + 1iy + 2i2y + 1x + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -1 + 2ix + 1iy + 2i2y + 1x + -2y = 0 The solution to this equation could not be determined.
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