(x+iy)(1-i)+(2x+3iy)(1+i)=7

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Solution for (x+iy)(1-i)+(2x+3iy)(1+i)=7 equation: 


Simplifying
(x + iy)(1 + -1i) + (2x + 3iy)(1 + i) = 7

Reorder the terms:
(iy + x)(1 + -1i) + (2x + 3iy)(1 + i) = 7

Multiply (iy + x) * (1 + -1i)
(iy(1 + -1i) + x(1 + -1i)) + (2x + 3iy)(1 + i) = 7
((1 * iy + -1i * iy) + x(1 + -1i)) + (2x + 3iy)(1 + i) = 7
((1iy + -1i2y) + x(1 + -1i)) + (2x + 3iy)(1 + i) = 7
(1iy + -1i2y + (1 * x + -1i * x)) + (2x + 3iy)(1 + i) = 7

Reorder the terms:
(1iy + -1i2y + (-1ix + 1x)) + (2x + 3iy)(1 + i) = 7
(1iy + -1i2y + (-1ix + 1x)) + (2x + 3iy)(1 + i) = 7

Reorder the terms:
(-1ix + 1iy + -1i2y + 1x) + (2x + 3iy)(1 + i) = 7
(-1ix + 1iy + -1i2y + 1x) + (2x + 3iy)(1 + i) = 7

Reorder the terms:
-1ix + 1iy + -1i2y + 1x + (3iy + 2x)(1 + i) = 7

Multiply (3iy + 2x) * (1 + i)
-1ix + 1iy + -1i2y + 1x + (3iy * (1 + i) + 2x * (1 + i)) = 7
-1ix + 1iy + -1i2y + 1x + ((1 * 3iy + i * 3iy) + 2x * (1 + i)) = 7
-1ix + 1iy + -1i2y + 1x + ((3iy + 3i2y) + 2x * (1 + i)) = 7
-1ix + 1iy + -1i2y + 1x + (3iy + 3i2y + (1 * 2x + i * 2x)) = 7

Reorder the terms:
-1ix + 1iy + -1i2y + 1x + (3iy + 3i2y + (2ix + 2x)) = 7
-1ix + 1iy + -1i2y + 1x + (3iy + 3i2y + (2ix + 2x)) = 7

Reorder the terms:
-1ix + 1iy + -1i2y + 1x + (2ix + 3iy + 3i2y + 2x) = 7
-1ix + 1iy + -1i2y + 1x + (2ix + 3iy + 3i2y + 2x) = 7

Reorder the terms:
-1ix + 2ix + 1iy + 3iy + -1i2y + 3i2y + 1x + 2x = 7

Combine like terms: -1ix + 2ix = 1ix
1ix + 1iy + 3iy + -1i2y + 3i2y + 1x + 2x = 7

Combine like terms: 1iy + 3iy = 4iy
1ix + 4iy + -1i2y + 3i2y + 1x + 2x = 7

Combine like terms: -1i2y + 3i2y = 2i2y
1ix + 4iy + 2i2y + 1x + 2x = 7

Combine like terms: 1x + 2x = 3x
1ix + 4iy + 2i2y + 3x = 7

Solving
1ix + 4iy + 2i2y + 3x = 7

Solving for variable 'i'.

Reorder the terms:
-7 + 1ix + 4iy + 2i2y + 3x = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 1ix + 4iy + 2i2y + 3x = 0

The solution to this equation could not be determined.

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