Find the real numbers x and y such that (2x+y)+(3-5x)i=1-7yi

Question

I am new to the concept of using i, and I need some help.

Answer 1

(2x + y) + (3 - 5x)i = 1 - 7yi

 

The real part of the left side must equal the real part of the right side, and the imaginary part of the left side must equal the imaginary part of the right side.  Therefore,

 

2x + y = 1

3 - 5x = -7y

 

Now solve for x and y as you would for any system of 2 linear equations in 2 unknowns x and y.