What is the answer to (8-9i)y-(2+9i)x=-40+90i ?

The answer to (8-9i)y-(2+9i)x=-40+90i is x=-4,y=-6

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(8-9i)y-(2+9i)x=-40+90i

(8 - 9 i) y - (2 + 9 i) x = - 40 + 90 i

x = - 4, y = - 6

Solution steps

(8 - 9 i) y - (2 + 9 i) x = - 40 + 90 i

Rewrite

(8 - 9 i) y - (2 + 9 i) x

in standard complex form:

(8 y - 2 x) + (- 9 y - 9 x) i

(8 y - 2 x) + (- 9 y - 9 x) i = - 40 + 90 i

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

[8 y - 2 x = - 40 - 9 y - 9 x = 90]

[8 y - 2 x = - 40 - 9 y - 9 x = 90] : x = - 4, y = - 6

x = - 4, y = - 6

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

2 x + 4 i y - i x + 5 y = 1 - 7 i

i (x) = x^{2} + x + 1

i (x) = - 100 x^{2} + 1000 x + 7500

- w^{2} + 9 i w + 20 = 0

What is the answer to (8-9i)y-(2+9i)x=-40+90i ?
The answer to (8-9i)y-(2+9i)x=-40+90i is x=-4,y=-6