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Simplifying (2 + -3i) * x + -13y = x + -1(2 + 3i) * y Reorder the terms for easier multiplication: x(2 + -3i) + -13y = x + -1(2 + 3i) * y (2 * x + -3i * x) + -13y = x + -1(2 + 3i) * y Reorder the terms: (-3ix + 2x) + -13y = x + -1(2 + 3i) * y (-3ix + 2x) + -13y = x + -1(2 + 3i) * y Reorder the terms for easier multiplication: -3ix + 2x + -13y = x + -1y(2 + 3i) -3ix + 2x + -13y = x + (2 * -1y + 3i * -1y) Reorder the terms: -3ix + 2x + -13y = x + (-3iy + -2y) -3ix + 2x + -13y = x + (-3iy + -2y) Reorder the terms: -3ix + 2x + -13y = -3iy + x + -2y Solving -3ix + 2x + -13y = -3iy + x + -2y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3iy' to each side of the equation. -3ix + 2x + 3iy + -13y = -3iy + x + 3iy + -2y Reorder the terms: -3ix + 3iy + 2x + -13y = -3iy + x + 3iy + -2y Reorder the terms: -3ix + 3iy + 2x + -13y = -3iy + 3iy + x + -2y Combine like terms: -3iy + 3iy = 0 -3ix + 3iy + 2x + -13y = 0 + x + -2y -3ix + 3iy + 2x + -13y = x + -2y Add '-2x' to each side of the equation. -3ix + 3iy + 2x + -2x + -13y = x + -2x + -2y Combine like terms: 2x + -2x = 0 -3ix + 3iy + 0 + -13y = x + -2x + -2y -3ix + 3iy + -13y = x + -2x + -2y Combine like terms: x + -2x = -1x -3ix + 3iy + -13y = -1x + -2y Add '13y' to each side of the equation. -3ix + 3iy + -13y + 13y = -1x + -2y + 13y Combine like terms: -13y + 13y = 0 -3ix + 3iy + 0 = -1x + -2y + 13y -3ix + 3iy = -1x + -2y + 13y Combine like terms: -2y + 13y = 11y -3ix + 3iy = -1x + 11y Reorder the terms: -3ix + 3iy + x + -11y = -1x + x + 11y + -11y Combine like terms: -1x + x = 0 -3ix + 3iy + x + -11y = 0 + 11y + -11y -3ix + 3iy + x + -11y = 11y + -11y Combine like terms: 11y + -11y = 0 -3ix + 3iy + x + -11y = 0 The solution to this equation could not be determined.
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