What is the answer to 5x+i5y=100,5y+i(5x-10y)=60+i80 ?

The answer to 5x+i5y=100,5y+i(5x-10y)=60+i80 is x=20,y=0

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5x+i5y=100,5y+i(5x-10y)=60+i80

5 x + i 5 y = 100, 5 y + i (5 x - 10 y) = 60 + i 80

x = 20, y = 0

Solution steps

5 x + i 5 y = 100

Rewrite

100

in standard complex form:

100 + 0 i

5 x + i 5 y = 100 + 0 i

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

[5 x = 100 5 y = 0]

[5 x = 100 5 y = 0] : x = 20, y = 0

x = 20, y = 0

x^{2} + (4 - 2 i) x + 3 = 0

y, (2 x - y) - 4 i = 12 + 2

(3 + 3 i) (a + bi) = 3 + 18 i

(x + y) + (- y + x) i = 5 + i

+ 8 i z^{2} = 5 - 3 i, z^{1} = 10

What is the answer to 5x+i5y=100,5y+i(5x-10y)=60+i80 ?
The answer to 5x+i5y=100,5y+i(5x-10y)=60+i80 is x=20,y=0