# SOLUTION: how do you find real numbers x and y for which (x+2i)(y-i)=-4-7i

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 Question 432413: how do you find real numbers x and y for which (x+2i)(y-i)=-4-7iAnswer by Gogonati(817)   (Show Source): You can put this solution on YOUR website!To find the real numbers x and y, we first expand the left side of equality: , simplify , (as you know i^2=-1) , As we know two complex numbers are equal if and only if their real parts and imaginary parts are equal.Thus, we write: , rewrite the system , solve the first equation and find y=-2 and y=-3/2 Substitute and find values of x x=7+2*(-2)=3 and x=7+2*(-3/2)=4, thus, we have two solution, there are: ((3,-2) and (4, -3/2).