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Simplifying 2x + y + 3yi = 5 + -1xi Reorder the terms: 3iy + 2x + y = 5 + -1xi Solving 3iy + 2x + y = 5 + -1ix Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'ix' to each side of the equation. 3iy + 2x + ix + y = 5 + -1ix + ix Reorder the terms: ix + 3iy + 2x + y = 5 + -1ix + ix Combine like terms: -1ix + ix = 0 ix + 3iy + 2x + y = 5 + 0 ix + 3iy + 2x + y = 5 Add '-2x' to each side of the equation. ix + 3iy + 2x + -2x + y = 5 + -2x Combine like terms: 2x + -2x = 0 ix + 3iy + 0 + y = 5 + -2x ix + 3iy + y = 5 + -2x Add '-1y' to each side of the equation. ix + 3iy + y + -1y = 5 + -2x + -1y Combine like terms: y + -1y = 0 ix + 3iy + 0 = 5 + -2x + -1y ix + 3iy = 5 + -2x + -1y Reorder the terms: -5 + ix + 3iy + 2x + y = 5 + -2x + -1y + -5 + 2x + y Reorder the terms: -5 + ix + 3iy + 2x + y = 5 + -5 + -2x + 2x + -1y + y Combine like terms: 5 + -5 = 0 -5 + ix + 3iy + 2x + y = 0 + -2x + 2x + -1y + y -5 + ix + 3iy + 2x + y = -2x + 2x + -1y + y Combine like terms: -2x + 2x = 0 -5 + ix + 3iy + 2x + y = 0 + -1y + y -5 + ix + 3iy + 2x + y = -1y + y Combine like terms: -1y + y = 0 -5 + ix + 3iy + 2x + y = 0 The solution to this equation could not be determined.
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