(2-5i)x+(1+3i)y=8-9i

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Solution for (2-5i)x+(1+3i)y=8-9i equation:


Simplifying
(2 + -5i) * x + (1 + 3i) * y = 8 + -9i

Reorder the terms for easier multiplication:
x(2 + -5i) + (1 + 3i) * y = 8 + -9i
(2 * x + -5i * x) + (1 + 3i) * y = 8 + -9i

Reorder the terms:
(-5ix + 2x) + (1 + 3i) * y = 8 + -9i
(-5ix + 2x) + (1 + 3i) * y = 8 + -9i

Reorder the terms for easier multiplication:
-5ix + 2x + y(1 + 3i) = 8 + -9i
-5ix + 2x + (1 * y + 3i * y) = 8 + -9i

Reorder the terms:
-5ix + 2x + (3iy + 1y) = 8 + -9i
-5ix + 2x + (3iy + 1y) = 8 + -9i

Reorder the terms:
-5ix + 3iy + 2x + 1y = 8 + -9i

Solving
-5ix + 3iy + 2x + 1y = 8 + -9i

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '9i' to each side of the equation.
-5ix + 3iy + 2x + 9i + 1y = 8 + -9i + 9i

Reorder the terms:
9i + -5ix + 3iy + 2x + 1y = 8 + -9i + 9i

Combine like terms: -9i + 9i = 0
9i + -5ix + 3iy + 2x + 1y = 8 + 0
9i + -5ix + 3iy + 2x + 1y = 8

Add '-2x' to each side of the equation.
9i + -5ix + 3iy + 2x + -2x + 1y = 8 + -2x

Combine like terms: 2x + -2x = 0
9i + -5ix + 3iy + 0 + 1y = 8 + -2x
9i + -5ix + 3iy + 1y = 8 + -2x

Add '-1y' to each side of the equation.
9i + -5ix + 3iy + 1y + -1y = 8 + -2x + -1y

Combine like terms: 1y + -1y = 0
9i + -5ix + 3iy + 0 = 8 + -2x + -1y
9i + -5ix + 3iy = 8 + -2x + -1y

Reorder the terms:
-8 + 9i + -5ix + 3iy + 2x + y = 8 + -2x + -1y + -8 + 2x + y

Reorder the terms:
-8 + 9i + -5ix + 3iy + 2x + y = 8 + -8 + -2x + 2x + -1y + y

Combine like terms: 8 + -8 = 0
-8 + 9i + -5ix + 3iy + 2x + y = 0 + -2x + 2x + -1y + y
-8 + 9i + -5ix + 3iy + 2x + y = -2x + 2x + -1y + y

Combine like terms: -2x + 2x = 0
-8 + 9i + -5ix + 3iy + 2x + y = 0 + -1y + y
-8 + 9i + -5ix + 3iy + 2x + y = -1y + y

Combine like terms: -1y + y = 0
-8 + 9i + -5ix + 3iy + 2x + y = 0

The solution to this equation could not be determined.

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