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Simplifying 3x + y + 5xi + yi = 9 + -7yi Reorder the terms: 5ix + iy + 3x + y = 9 + -7yi Solving 5ix + iy + 3x + y = 9 + -7iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7iy' to each side of the equation. 5ix + iy + 3x + 7iy + y = 9 + -7iy + 7iy Reorder the terms: 5ix + iy + 7iy + 3x + y = 9 + -7iy + 7iy Combine like terms: iy + 7iy = 8iy 5ix + 8iy + 3x + y = 9 + -7iy + 7iy Combine like terms: -7iy + 7iy = 0 5ix + 8iy + 3x + y = 9 + 0 5ix + 8iy + 3x + y = 9 Add '-3x' to each side of the equation. 5ix + 8iy + 3x + -3x + y = 9 + -3x Combine like terms: 3x + -3x = 0 5ix + 8iy + 0 + y = 9 + -3x 5ix + 8iy + y = 9 + -3x Add '-1y' to each side of the equation. 5ix + 8iy + y + -1y = 9 + -3x + -1y Combine like terms: y + -1y = 0 5ix + 8iy + 0 = 9 + -3x + -1y 5ix + 8iy = 9 + -3x + -1y Reorder the terms: -9 + 5ix + 8iy + 3x + y = 9 + -3x + -1y + -9 + 3x + y Reorder the terms: -9 + 5ix + 8iy + 3x + y = 9 + -9 + -3x + 3x + -1y + y Combine like terms: 9 + -9 = 0 -9 + 5ix + 8iy + 3x + y = 0 + -3x + 3x + -1y + y -9 + 5ix + 8iy + 3x + y = -3x + 3x + -1y + y Combine like terms: -3x + 3x = 0 -9 + 5ix + 8iy + 3x + y = 0 + -1y + y -9 + 5ix + 8iy + 3x + y = -1y + y Combine like terms: -1y + y = 0 -9 + 5ix + 8iy + 3x + y = 0 The solution to this equation could not be determined.
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