Find the values that make the equation true

Find the values of s and t that make the equation true.

This example is given. i is the imaginary √-1.

6 + 12i = 2s + 3ti

The solution solves this equation in 2 parts.
________

6=2s
3=s
________

12=3t
4=t
________
Answer: s=3, t=4.


How to solve this question based on the example.

3s - 2t + 2si + 3ti = 11 + 3i

Please help. Thanks.

Quote:

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Originally Posted by shenton

Find the values of s and t that make the equation true....

How to solve this question based on the example.

3s - 2t + 2si + 3ti = 11 + 3i

...

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Hello, shenton,

as in the example you separate real and imaginary numbers:

3s - 2t = 11
(2s + 3t)i = 3i, that means: 2s + 3t = 3

I don't know which method you use to solve this system of equations, the solution should be: s = 3, t = -1

EB

Quote:

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Originally Posted by earboth

as in the example you separate real and imaginary numbers:

3s - 2t = 11
(2s + 3t)i = 3i, that means: 2s + 3t = 3

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Thanks for showing how to derive the equations.

Using elimination, I reach to the same answer, s = 3, t = -1.

:) Thanks for showing "how".