SOLUTION: how do you solve, step by step,: x(2+6i)+y(3+8i)=-6-14i?

You can put this solution on YOUR website!
Start with the given equation.


Distribute


Rearrange and group like terms.


This means that

(this is the real part)

and

(this is the imaginary part)



So all that you have to do is solve the system






to find 'x' and 'y'

You can put this solution on YOUR website!



So


now solve this set of linear equations. I am guessing you know how to do this. I would use elimination.
If you don't know how, send an email and I'll work it for you

You can put this solution on YOUR website!
how do you solve, step by step,:

When there are both real and imaginary terms
in an equation, 

1. the sum of all the real terms (those which
do not contain an "i", on the left is equal to 
the sum of all the real terms on the right, 

and 

2. all the imaginary terms (those containing "i")  
on the left is equal to the sum of all the
imaginary terms on the right.




First we remove the parentheses using the 



Write the equation leaving out the terms which
DO NOT contain "i":



That's one equation:

Now do just the revers, write the equation this 
time leaving out the terms which DO contain "i":



Now divide every term by i:



So now we have this system:



Solve that system and get  and 

Edwin