SOLUTION: Find The Value Of X and Y 2(3+4i)-2(x-yi)=x+yi

Question 1057894: Find The Value Of X and Y
2(3+4i)-2(x-yi)=x+yi
Answer by solve_for_x(190) (Show Source): You can put this solution on YOUR website!
Multiplying out the terms gives:

6 + 8i - 2x + 2yi = x + yi

Separating the real and imaginary parts of that equation gives the following two equations:

6 - 2x = x
8i + 2yi = yi

Solving the first for x gives:

3x = 6

x = 6/3

x = 2

Solving the second for y gives:

8i + 2yi = yi

8i = yi - 2yi

-yi = 8i

y = -8

Solution: x = 2, y = -8

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