What is the answer to (2-5i)x+(1+3i)y=8-9i ?

The answer to (2-5i)x+(1+3i)y=8-9i is x=3,y=2

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

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

x = 3, y = 2

Solution steps

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

Rewrite

(2 - 5 i) x + (1 + 3 i) y

in standard complex form:

(2 x + y) + (- 5 x + 3 y) i

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

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[2 x + y = 8 - 5 x + 3 y = - 9]

[2 x + y = 8 - 5 x + 3 y = - 9] : x = 3, y = 2

x = 3, y = 2

(z - i)^{2} = 3 + 4 i

x^{2} - 12 i x - 1 = 0

a - bi (a + bi + 1) = 11 + 3 i

\frac{360}{i r} - 1500 = 0

(x + y i)^{2} = i

What is the answer to (2-5i)x+(1+3i)y=8-9i ?
The answer to (2-5i)x+(1+3i)y=8-9i is x=3,y=2