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Simplifying (2 + -4j) * x + 9 + (1 + 4j) * y = 0 Reorder the terms for easier multiplication: x(2 + -4j) + 9 + (1 + 4j) * y = 0 (2 * x + -4j * x) + 9 + (1 + 4j) * y = 0 Reorder the terms: (-4jx + 2x) + 9 + (1 + 4j) * y = 0 (-4jx + 2x) + 9 + (1 + 4j) * y = 0 Reorder the terms for easier multiplication: -4jx + 2x + 9 + y(1 + 4j) = 0 -4jx + 2x + 9 + (1 * y + 4j * y) = 0 Reorder the terms: -4jx + 2x + 9 + (4jy + 1y) = 0 -4jx + 2x + 9 + (4jy + 1y) = 0 Reorder the terms: 9 + -4jx + 4jy + 2x + 1y = 0 Solving 9 + -4jx + 4jy + 2x + 1y = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -4jx + 4jy + 2x + -9 + 1y = 0 + -9 Reorder the terms: 9 + -9 + -4jx + 4jy + 2x + 1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4jx + 4jy + 2x + 1y = 0 + -9 -4jx + 4jy + 2x + 1y = 0 + -9 Combine like terms: 0 + -9 = -9 -4jx + 4jy + 2x + 1y = -9 Add '-2x' to each side of the equation. -4jx + 4jy + 2x + -2x + 1y = -9 + -2x Combine like terms: 2x + -2x = 0 -4jx + 4jy + 0 + 1y = -9 + -2x -4jx + 4jy + 1y = -9 + -2x Add '-1y' to each side of the equation. -4jx + 4jy + 1y + -1y = -9 + -2x + -1y Combine like terms: 1y + -1y = 0 -4jx + 4jy + 0 = -9 + -2x + -1y -4jx + 4jy = -9 + -2x + -1y Reorder the terms: 9 + -4jx + 4jy + 2x + y = -9 + -2x + -1y + 9 + 2x + y Reorder the terms: 9 + -4jx + 4jy + 2x + y = -9 + 9 + -2x + 2x + -1y + y Combine like terms: -9 + 9 = 0 9 + -4jx + 4jy + 2x + y = 0 + -2x + 2x + -1y + y 9 + -4jx + 4jy + 2x + y = -2x + 2x + -1y + y Combine like terms: -2x + 2x = 0 9 + -4jx + 4jy + 2x + y = 0 + -1y + y 9 + -4jx + 4jy + 2x + y = -1y + y Combine like terms: -1y + y = 0 9 + -4jx + 4jy + 2x + y = 0 The solution to this equation could not be determined.
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