SOLUTION: (2x+y) + (3-5x)i = 1 -7i solve for x & y I lumped the i's and the numbers together then squared everything to get {{{29x^2+4xy-104x+y^2-2y=-101 The answer is x=2 & y=-3,

Question 154388This question is from textbook Advanced Mathematics
: (2x+y) + (3-5x)i = 1 -7i solve for x & y
I lumped the i's and the numbers together then squared everything to get
29x^2+4xy-104x+y^2-2y=-101
The answer is x=2 & y=-3, but I can't get there. This question is from textbook Advanced Mathematics

Found 2 solutions by vleith, jim_thompson5910:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Collecting like terms is the correct first step

For a complex number equal zero, both the real and the imaginary parts must be 0.
So

Substituting back into the real part

Make sense now?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Take note that . So this means that and . From the number , we see that and .

Start with the second equation.

Plug in .

Subtract 3 from both sides.

Divide both sides by -5.

So the first answer is

Move onto the first equation

Plug in and

Multiply

Subtract 4 from both sides.

So the first answer is

So the solutions are and

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