Question

find x and y step by step with explanation ​

Answer 1

Answer:-

x = 4- 2i y= -4-2i

Step-by-step explanation:

2x+i^9y(2+i)=xi^7+10i^16

2x + i^8.iy(2+i)=xi^6.i+10(i^2)^8

We know that the value i = root -1

2x+ (i^2)^4.iy(2+i)=x(i^2)^3.i+10(-1)^8

2x+iy(2+i)= -xi + 10

2x+i2y+i^2y = -xi+10

2x+xi + y(2i-1) = 10

x(2+i) + y(2i-1) = 10

By the principle of Mathematics we compare x and y's coefficient with 10.

x(2+i) = 10

x = (10)/ 2+i

After rationalisation

x= 4 - 2i

y(2i-1) = 10

y= 10/(2i-1)

After rationalisation

y = -4-2i