Question

find (x, y)
(3+2i)x -(i-4)y =2(2+5i)​

Answer 1

Step-by-step explanation:

I hope it will help you to understand the solution ☺️

Answer 2

Answer:

x = 30

y = 22/5

Step-by-step explanation:

(3 + 2i)x - (i - 4)y = 2(2 + 5i)​

3x + 2xi - yi - 4y = 4 + 10i

3x - 4y - 4 = 10i - 2xi + yi

(3x - 4y - 4) = (10 - 2x + y)i

(3x - 4y - 4) + (-10 + 2x - y)i = 0

Real no. = (3x - 4y - 4) × 2 ------- (i)

Imaginary no. = (-10 + 2x - y) × 3 -------- (ii)

6x - 8y - 8 = 0 ------- (iii)

6x - 3y - 30 = 0 ------- (iv)

Now,

(6x - 8y - 8) - (6x - 3y - 30) = 0

6x - 8y - 8 - 6x + 3y + 30 = 0

-5y + 22 = 0

5y = 22

$y = \frac{22}{5}$

$6x - 8y - 8 = 0\\\\6x - 8(\frac{22}{5} )-8=0\\\\6x - \frac{176}{5} - 8=0\\\\Taking LCM,\\\\\frac{30x - 176 - 40}{5} =0\\\\30x-210=0\\\\30x=210\\\\x = \frac{210}{3} \\\\x=70$