SOLUTION: X(1+2i)+y(3+5i)=-3

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Question 1182854: X(1+2i)+y(3+5i)=-3
Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


x%281%2B2i%29%2By%283%2B5i%29=-3

(1) Expand the left hand side:

x%2B%282x%29i%2B3y%2B%285y%29i=-3

(2) Combine real and imaginary parts on the left hand side; write the right hand side in a+bi form:

%28x%2B3y%29%2B%282x%2B5y%29i=-3%2B0i

(3) Equate the coefficients of the real parts and imaginary parts on the two sides:

x%2B3y=-3
2x%2B5y=0

(4) Solve the pair of equations

I leave that much to you....