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Simplifying (2 + yi)(x + i) = 1 + 3i Reorder the terms: (2 + iy)(i + x) = 1 + 3i Multiply (2 + iy) * (i + x) (2(i + x) + iy(i + x)) = 1 + 3i ((i * 2 + x * 2) + iy(i + x)) = 1 + 3i ((2i + 2x) + iy(i + x)) = 1 + 3i (2i + 2x + (i * iy + x * iy)) = 1 + 3i Reorder the terms: (2i + 2x + (ixy + i2y)) = 1 + 3i (2i + 2x + (ixy + i2y)) = 1 + 3i Reorder the terms: (2i + ixy + i2y + 2x) = 1 + 3i (2i + ixy + i2y + 2x) = 1 + 3i Solving 2i + ixy + i2y + 2x = 1 + 3i Solving for variable 'i'. Reorder the terms: -1 + 2i + -3i + ixy + i2y + 2x = 1 + 3i + -1 + -3i Combine like terms: 2i + -3i = -1i -1 + -1i + ixy + i2y + 2x = 1 + 3i + -1 + -3i Reorder the terms: -1 + -1i + ixy + i2y + 2x = 1 + -1 + 3i + -3i Combine like terms: 1 + -1 = 0 -1 + -1i + ixy + i2y + 2x = 0 + 3i + -3i -1 + -1i + ixy + i2y + 2x = 3i + -3i Combine like terms: 3i + -3i = 0 -1 + -1i + ixy + i2y + 2x = 0 The solution to this equation could not be determined.
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