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

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


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

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

Multiply (2 + iy) * (-3i + x)
(2(-3i + x) + iy(-3i + x)) = 7 + -1i
((-3i * 2 + x * 2) + iy(-3i + x)) = 7 + -1i
((-6i + 2x) + iy(-3i + x)) = 7 + -1i
(-6i + 2x + (-3i * iy + x * iy)) = 7 + -1i

Reorder the terms:
(-6i + 2x + (ixy + -3i2y)) = 7 + -1i
(-6i + 2x + (ixy + -3i2y)) = 7 + -1i

Reorder the terms:
(-6i + ixy + -3i2y + 2x) = 7 + -1i
(-6i + ixy + -3i2y + 2x) = 7 + -1i

Solving
-6i + ixy + -3i2y + 2x = 7 + -1i

Solving for variable 'i'.

Reorder the terms:
-7 + -6i + i + ixy + -3i2y + 2x = 7 + -1i + -7 + i

Combine like terms: -6i + i = -5i
-7 + -5i + ixy + -3i2y + 2x = 7 + -1i + -7 + i

Reorder the terms:
-7 + -5i + ixy + -3i2y + 2x = 7 + -7 + -1i + i

Combine like terms: 7 + -7 = 0
-7 + -5i + ixy + -3i2y + 2x = 0 + -1i + i
-7 + -5i + ixy + -3i2y + 2x = -1i + i

Combine like terms: -1i + i = 0
-7 + -5i + ixy + -3i2y + 2x = 0

The solution to this equation could not be determined.

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