(x+yi)(2-i)=8-i

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Solution for (x+yi)(2-i)=8-i equation: 


Simplifying
(x + yi)(2 + -1i) = 8 + -1i

Reorder the terms:
(iy + x)(2 + -1i) = 8 + -1i

Multiply (iy + x) * (2 + -1i)
(iy(2 + -1i) + x(2 + -1i)) = 8 + -1i
((2 * iy + -1i * iy) + x(2 + -1i)) = 8 + -1i
((2iy + -1i2y) + x(2 + -1i)) = 8 + -1i
(2iy + -1i2y + (2 * x + -1i * x)) = 8 + -1i

Reorder the terms:
(2iy + -1i2y + (-1ix + 2x)) = 8 + -1i
(2iy + -1i2y + (-1ix + 2x)) = 8 + -1i

Reorder the terms:
(-1ix + 2iy + -1i2y + 2x) = 8 + -1i
(-1ix + 2iy + -1i2y + 2x) = 8 + -1i

Solving
-1ix + 2iy + -1i2y + 2x = 8 + -1i

Solving for variable 'i'.

Reorder the terms:
-8 + i + -1ix + 2iy + -1i2y + 2x = 8 + -1i + -8 + i

Reorder the terms:
-8 + i + -1ix + 2iy + -1i2y + 2x = 8 + -8 + -1i + i

Combine like terms: 8 + -8 = 0
-8 + i + -1ix + 2iy + -1i2y + 2x = 0 + -1i + i
-8 + i + -1ix + 2iy + -1i2y + 2x = -1i + i

Combine like terms: -1i + i = 0
-8 + i + -1ix + 2iy + -1i2y + 2x = 0

The solution to this equation could not be determined.

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