SOLUTION: This is about imaginary numbers, I'm supposed to find the values of x and y. The problem is x+69i=34-3yi

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Question 1056124: This is about imaginary numbers, I'm supposed to find the values of x and y. The problem is x+69i=34-3yi
Answer by ikleyn(52852)   (Show Source): You can put this solution on YOUR website!
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This is about imaginary numbers, I'm supposed to find the values of x and y. The problem is x+69i=34-3yi
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x + 69i = 34 - 3yi   implies that

x = 34    and
69 = -3y.

Therefore the answer is  x = 34,  y =  = -23.

Two complex numbers are equal if and only if their real parts are equal and their imaginary parts are equal.

This is a DEFINITION of equality of complex numbers.


There is a bunch of my lessons on complex numbers
    - Complex numbers and arithmetical operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
    - Raising a complex number to an integer power
    - How to take a root of a complex number

    - Solved problems on taking roots of complex numbers
    - Solved problems on arithmetic operations on complex numbers
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Complex numbers".


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