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Simplifying 3x + 10yi = 15 + 100i Reorder the terms: 10iy + 3x = 15 + 100i Solving 10iy + 3x = 15 + 100i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-100i' to each side of the equation. 10iy + -100i + 3x = 15 + 100i + -100i Reorder the terms: -100i + 10iy + 3x = 15 + 100i + -100i Combine like terms: 100i + -100i = 0 -100i + 10iy + 3x = 15 + 0 -100i + 10iy + 3x = 15 Add '-3x' to each side of the equation. -100i + 10iy + 3x + -3x = 15 + -3x Combine like terms: 3x + -3x = 0 -100i + 10iy + 0 = 15 + -3x -100i + 10iy = 15 + -3x Reorder the terms: -15 + -100i + 10iy + 3x = 15 + -3x + -15 + 3x Reorder the terms: -15 + -100i + 10iy + 3x = 15 + -15 + -3x + 3x Combine like terms: 15 + -15 = 0 -15 + -100i + 10iy + 3x = 0 + -3x + 3x -15 + -100i + 10iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -15 + -100i + 10iy + 3x = 0 The solution to this equation could not be determined.
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