Question

Find x and y if: (5y+3xi)+(2x- 7yi)=11-27i How do I solve this?

Answer 1

the real terms are equal and the imaginary terms are equal
5y+2x=11 and 3x-7y=-27

Answer 2

Yup I got that far, I'm just stuck after that.

Answer 3

6x+15y=33
-6x+14y=54

29y=87
y=3
substitute back and get 5(3)+2x=11
2x=-4 x=-2
check
(5(3)+3(-2)i)+(2(-2)- 7(3)i)=11-27i
15-6i+-4-21i=11-27i
11-27i=11-27i

Answer 4

Where does the 29y=87 come from? What was each term multiplied by?

Answer 5

add those two equations together

Answer 6

I see that, but wouldn't you have had to alter the original equations to get the both to equal 6 and -6?

Answer 7

Ohhhh! Nevrmind, I had the first equation written as 5x+2y=11:) Sorry

Answer 8

so multiple it by 2 and the other one by 3

Answer 9

no problem. glad you understand. let me know if anything else seems confusing

Answer 10

Thank you sooo much mate!!