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Simplifying (2 + i) * x + (1 + -3i) * y + -4 + -16i = 0 Reorder the terms for easier multiplication: x(2 + i) + (1 + -3i) * y + -4 + -16i = 0 (2 * x + i * x) + (1 + -3i) * y + -4 + -16i = 0 Reorder the terms: (ix + 2x) + (1 + -3i) * y + -4 + -16i = 0 (ix + 2x) + (1 + -3i) * y + -4 + -16i = 0 Reorder the terms for easier multiplication: ix + 2x + y(1 + -3i) + -4 + -16i = 0 ix + 2x + (1 * y + -3i * y) + -4 + -16i = 0 Reorder the terms: ix + 2x + (-3iy + 1y) + -4 + -16i = 0 ix + 2x + (-3iy + 1y) + -4 + -16i = 0 Reorder the terms: -4 + -16i + ix + -3iy + 2x + 1y = 0 Solving -4 + -16i + ix + -3iy + 2x + 1y = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -16i + ix + -3iy + 2x + 4 + 1y = 0 + 4 Reorder the terms: -4 + 4 + -16i + ix + -3iy + 2x + 1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -16i + ix + -3iy + 2x + 1y = 0 + 4 -16i + ix + -3iy + 2x + 1y = 0 + 4 Combine like terms: 0 + 4 = 4 -16i + ix + -3iy + 2x + 1y = 4 Add '-2x' to each side of the equation. -16i + ix + -3iy + 2x + -2x + 1y = 4 + -2x Combine like terms: 2x + -2x = 0 -16i + ix + -3iy + 0 + 1y = 4 + -2x -16i + ix + -3iy + 1y = 4 + -2x Add '-1y' to each side of the equation. -16i + ix + -3iy + 1y + -1y = 4 + -2x + -1y Combine like terms: 1y + -1y = 0 -16i + ix + -3iy + 0 = 4 + -2x + -1y -16i + ix + -3iy = 4 + -2x + -1y Reorder the terms: -4 + -16i + ix + -3iy + 2x + y = 4 + -2x + -1y + -4 + 2x + y Reorder the terms: -4 + -16i + ix + -3iy + 2x + y = 4 + -4 + -2x + 2x + -1y + y Combine like terms: 4 + -4 = 0 -4 + -16i + ix + -3iy + 2x + y = 0 + -2x + 2x + -1y + y -4 + -16i + ix + -3iy + 2x + y = -2x + 2x + -1y + y Combine like terms: -2x + 2x = 0 -4 + -16i + ix + -3iy + 2x + y = 0 + -1y + y -4 + -16i + ix + -3iy + 2x + y = -1y + y Combine like terms: -1y + y = 0 -4 + -16i + ix + -3iy + 2x + y = 0 The solution to this equation could not be determined.
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