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Simplifying 2x + -1y + xi + -3yi = 3 + -1i Reorder the terms: ix + -3iy + 2x + -1y = 3 + -1i Solving ix + -3iy + 2x + -1y = 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. ix + -3iy + 2x + i + -1y = 3 + -1i + i Reorder the terms: i + ix + -3iy + 2x + -1y = 3 + -1i + i Combine like terms: -1i + i = 0 i + ix + -3iy + 2x + -1y = 3 + 0 i + ix + -3iy + 2x + -1y = 3 Add '-2x' to each side of the equation. i + ix + -3iy + 2x + -2x + -1y = 3 + -2x Combine like terms: 2x + -2x = 0 i + ix + -3iy + 0 + -1y = 3 + -2x i + ix + -3iy + -1y = 3 + -2x Add 'y' to each side of the equation. i + ix + -3iy + -1y + y = 3 + -2x + y Combine like terms: -1y + y = 0 i + ix + -3iy + 0 = 3 + -2x + y i + ix + -3iy = 3 + -2x + y Reorder the terms: -3 + i + ix + -3iy + 2x + -1y = 3 + -2x + y + -3 + 2x + -1y Reorder the terms: -3 + i + ix + -3iy + 2x + -1y = 3 + -3 + -2x + 2x + y + -1y Combine like terms: 3 + -3 = 0 -3 + i + ix + -3iy + 2x + -1y = 0 + -2x + 2x + y + -1y -3 + i + ix + -3iy + 2x + -1y = -2x + 2x + y + -1y Combine like terms: -2x + 2x = 0 -3 + i + ix + -3iy + 2x + -1y = 0 + y + -1y -3 + i + ix + -3iy + 2x + -1y = y + -1y Combine like terms: y + -1y = 0 -3 + i + ix + -3iy + 2x + -1y = 0 The solution to this equation could not be determined.
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