SOLUTION: I am having trouble with this problem, and I can't seem to figure where to start: Find the real numbers x and y that make the equation true. -3 + yi = x + 6i

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Question 1040712: I am having trouble with this problem, and I can't seem to figure where to start:
Find the real numbers x and y that make the equation true.
-3 + yi = x + 6i

Found 3 solutions by richard1234, Boreal, ikleyn:
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
x and y are real, and the real and imaginary parts of the left-hand side and the right-hand sides must both be equal for the equation to be true.

Setting y = 6 and x = -3 achieves that result.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
-3 + yi = x + 6i
x=-3
y=6
Complex numbers of the form a+bi require the constant a to match and the coefficient of the i to match.

Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
On complex numbers read the lessons
    - 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
in this site.


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