(5+i)(x+iy)=4+6i

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Solution for (5+i)(x+iy)=4+6i equation:


Simplifying
(5 + i)(x + iy) = 4 + 6i

Reorder the terms:
(5 + i)(iy + x) = 4 + 6i

Multiply (5 + i) * (iy + x)
(5(iy + x) + i(iy + x)) = 4 + 6i
((iy * 5 + x * 5) + i(iy + x)) = 4 + 6i
((5iy + 5x) + i(iy + x)) = 4 + 6i
(5iy + 5x + (iy * i + x * i)) = 4 + 6i

Reorder the terms:
(5iy + 5x + (ix + i2y)) = 4 + 6i
(5iy + 5x + (ix + i2y)) = 4 + 6i

Reorder the terms:
(ix + 5iy + i2y + 5x) = 4 + 6i
(ix + 5iy + i2y + 5x) = 4 + 6i

Solving
ix + 5iy + i2y + 5x = 4 + 6i

Solving for variable 'i'.

Reorder the terms:
-4 + -6i + ix + 5iy + i2y + 5x = 4 + 6i + -4 + -6i

Reorder the terms:
-4 + -6i + ix + 5iy + i2y + 5x = 4 + -4 + 6i + -6i

Combine like terms: 4 + -4 = 0
-4 + -6i + ix + 5iy + i2y + 5x = 0 + 6i + -6i
-4 + -6i + ix + 5iy + i2y + 5x = 6i + -6i

Combine like terms: 6i + -6i = 0
-4 + -6i + ix + 5iy + i2y + 5x = 0

The solution to this equation could not be determined.

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