MHB How Do You Solve These Simultaneous Equations?

[Yordana]

Determine the real numbers x and y from the equations:

I would appreciate it if someone could show me the solution to the first sub point..

 

[topsquark]

Determine the real numbers x and y from the equations: View attachment 11876 I would appreciate it if someone could show me the solution to the first sub point..

The idea is that the real and imaginary components are the same on both sides of the equations. So for the first part:
(3 + 2i)x - (1 - 2i)y = 1 + 6i

(3x - y) + (2x + 2y)i = 1 + 6i

So now you have the simultaneous equations
3x - y = 1
2x + 2y = 6

-Dan

 

[Yordana]

The idea is that the real and imaginary components are the same on both sides of the equations. So for the first part:
(3 + 2i)x - (1 - 2i)y = 1 + 6i

(3x - y) + (2x + 2y)i = 1 + 6i

So now you have the simultaneous equations
3x - y = 1
2x + 2y = 6

-Dan

Thank you!