Question 17156
Let: U=-8+9i, v=4+3i, w=6-4i
Solve the following equation for : x
ux+v=w so you do x=w-v/u....NO..NO.dont do this way..proceed as follows..firstly your problem needs a small change AS THE PROBLEM YOU MENTIONED HAS NO SOLUTION.(IF YOU SOLVE IT BY THE METHOD GIVEN YOU WILL FIND THAT YOU GET 2 DIFFERENT ANSWERS FOR x MEANING THAT THERE IS NO SOLUTION SATIFYING THE GIVEN EQUATION.DO IT AND CHECK FOR YOUR SELF).hence take it as ux+vy=w
x(-8+9i)+y(4+3i)=(6-4i)
(-8x+4y)+i(9x+3y)=6-4i...the real part on the lhs of the eqn.should equal the real part on rhs of the eqn.same applies to imaginary parts...hence
-8x+4y=6..and 9x+3y=-4...now i think you can solve the 2 simultaneous eqns.