Question

(4-5i) x+(2+3i)y=10-7i
find x and y

Answer 1

4x - 5ix + 2y + 3iy = 10 - 7i

Hence,

4x + 2y = 10 and 3y - 5x = - 7
So, 2x + y = 5 and 5x - 3y =7

x = 12/11 and y = 31/11

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Answer 2

Answer:

x=2  ,  y=1

Step-by-step explanation:

(4-5i)x + (2+3i)y = 10-7i

4x - 5xi +2y +3yi = 10 -7i

4x +2y =10 and i(-5x+3y) = -7i

2x+y =5...............(1) and 5x-3y =7..............(2)

2x=5-y

x = 5-y/2

putting value in (2)

5(5-y/2)-3y =7

25-5y/2 - 3y =7

25-5y-6y/2 - 7

25-11y=14

-11y=14-25

-11y=-11

hence y=1

putting y=1 in eq.(1)

2x+y = 5

2x +1=5

2x = 4

x=2

hence x = 2 and y = 1.