Solve for all possible values of the real numbers xand yin the following equations.

x+iy=y+ix

Short Answer

Expert verified

The answer is obtained:

x=y=anyrealnumber

Step by step solution

01

Given information

It is given that x+iy=y+ix.

02

Definition of a complex number

Every complex number can be expressed as:

z=a+bi

Whereaandbare both real numbers, z is the complex number, and i is known as iota, which makes z a complex number.

03

Begin by stating the given information

State the given information:

x+iy=y+ix

04

Equate like terms

Equate like terms from both sides:

x+iy=y+ixx=yandy=x

Thus, the final answer is obtained:

x=y=anyrealnumber

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