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Simplifying 2x + y + -1x + 4yi = -1 + 13i Reorder the terms: 4iy + 2x + -1x + y = -1 + 13i Combine like terms: 2x + -1x = 1x 4iy + 1x + y = -1 + 13i Solving 4iy + 1x + y = -1 + 13i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13i' to each side of the equation. 4iy + 1x + -13i + y = -1 + 13i + -13i Reorder the terms: -13i + 4iy + 1x + y = -1 + 13i + -13i Combine like terms: 13i + -13i = 0 -13i + 4iy + 1x + y = -1 + 0 -13i + 4iy + 1x + y = -1 Add '-1x' to each side of the equation. -13i + 4iy + 1x + -1x + y = -1 + -1x Combine like terms: 1x + -1x = 0 -13i + 4iy + 0 + y = -1 + -1x -13i + 4iy + y = -1 + -1x Add '-1y' to each side of the equation. -13i + 4iy + y + -1y = -1 + -1x + -1y Combine like terms: y + -1y = 0 -13i + 4iy + 0 = -1 + -1x + -1y -13i + 4iy = -1 + -1x + -1y Reorder the terms: 1 + -13i + 4iy + x + y = -1 + -1x + -1y + 1 + x + y Reorder the terms: 1 + -13i + 4iy + x + y = -1 + 1 + -1x + x + -1y + y Combine like terms: -1 + 1 = 0 1 + -13i + 4iy + x + y = 0 + -1x + x + -1y + y 1 + -13i + 4iy + x + y = -1x + x + -1y + y Combine like terms: -1x + x = 0 1 + -13i + 4iy + x + y = 0 + -1y + y 1 + -13i + 4iy + x + y = -1y + y Combine like terms: -1y + y = 0 1 + -13i + 4iy + x + y = 0 The solution to this equation could not be determined.
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