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

The answer to (1+i)x+(y+5)i=3(1-y) is x=-9,y=4

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

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

x = - 9, y = 4

Solution steps

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

Rewrite

(1 + i) x + (y + 5) i

in standard complex form:

x + (x + y + 5) i

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

Rewrite

3 (1 - y)

in standard complex form:

3 (1 - y) + 0 i

x + (x + y + 5) i = 3 (1 - y) + 0 i

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

[x = 3 (1 - y) x + y + 5 = 0]

[x = 3 (1 - y) x + y + 5 = 0] : x = - 9, y = 4

x = - 9, y = 4

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

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

(2 + 3 i) x - (1 + i) y = 3 + 4 i

a - bi = ai - b

p = i v

What is the answer to (1+i)x+(y+5)i=3(1-y) ?
The answer to (1+i)x+(y+5)i=3(1-y) is x=-9,y=4