Question

(x+yi)+(3-2i)=1+4i ​

Answer 1

Answer:

x = -2 and y = 6

Step-by-step explanation:

Given , the equation :

$(x + yi) + (3 - 2i) = 1 + 4i \\ \\ \implies \: x + yi + 3 - 2i = 1 + 4i \\ \\ \implies \: (x + 3) + i(y - 2) = 1 + 4i$

Now , comparing the real and imaginary part we have :

$x + 3 = 1 \\ \implies \: x = 1 - 3 \\ \implies \: x = - 2$

and ,

$y - 2 = 4 \\ \implies \: y = 4 + 2 \\ \implies \: y = 6$