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