What is the answer to 2x-20i=8-(-4y)i ?

The answer to 2x-20i=8-(-4y)i is x=4,y=-5

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2x-20i=8-(-4y)i

2 x - 20 i = 8 - (- 4 y) i

x = 4, y = - 5

Solution steps

2 x - 20 i = 8 - (- 4 y) i

Rewrite

8 - (- 4 y) i

in standard complex form:

8 + 4 y i

2 x - 20 i = 8 + 4 y i

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

[2 x = 8 - 20 = 4 y]

[2 x = 8 - 20 = 4 y] : x = 4, y = - 5

x = 4, y = - 5

(2 + x) + (3 - y) i = - 5 - 7 i

(2 - i) (- 3 + 2 i) (5 - 4 i) = 4 x - 3

2 ai - 3 j = a^{2} i + 6 j

7 x + (x - 3 y) i = 3 y + 9 i

\frac{1 + ai}{6 + bi} = 2 + 5 i

What is the answer to 2x-20i=8-(-4y)i ?
The answer to 2x-20i=8-(-4y)i is x=4,y=-5