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Simplifying 5x + 3yi + y + -1xi = 13 + -1i Reorder the terms: -1ix + 3iy + 5x + y = 13 + -1i Solving -1ix + 3iy + 5x + y = 13 + -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. -1ix + 3iy + 5x + i + y = 13 + -1i + i Reorder the terms: i + -1ix + 3iy + 5x + y = 13 + -1i + i Combine like terms: -1i + i = 0 i + -1ix + 3iy + 5x + y = 13 + 0 i + -1ix + 3iy + 5x + y = 13 Add '-5x' to each side of the equation. i + -1ix + 3iy + 5x + -5x + y = 13 + -5x Combine like terms: 5x + -5x = 0 i + -1ix + 3iy + 0 + y = 13 + -5x i + -1ix + 3iy + y = 13 + -5x Add '-1y' to each side of the equation. i + -1ix + 3iy + y + -1y = 13 + -5x + -1y Combine like terms: y + -1y = 0 i + -1ix + 3iy + 0 = 13 + -5x + -1y i + -1ix + 3iy = 13 + -5x + -1y Reorder the terms: -13 + i + -1ix + 3iy + 5x + y = 13 + -5x + -1y + -13 + 5x + y Reorder the terms: -13 + i + -1ix + 3iy + 5x + y = 13 + -13 + -5x + 5x + -1y + y Combine like terms: 13 + -13 = 0 -13 + i + -1ix + 3iy + 5x + y = 0 + -5x + 5x + -1y + y -13 + i + -1ix + 3iy + 5x + y = -5x + 5x + -1y + y Combine like terms: -5x + 5x = 0 -13 + i + -1ix + 3iy + 5x + y = 0 + -1y + y -13 + i + -1ix + 3iy + 5x + y = -1y + y Combine like terms: -1y + y = 0 -13 + i + -1ix + 3iy + 5x + y = 0 The solution to this equation could not be determined.
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