document.write( "Question 17156: What are the exact steps that I need to do in this problem?
\n" ); document.write( "Let: U=-8+9i, v=4+3i, w=6-4i
\n" ); document.write( "Solve the following equation for : x
\n" ); document.write( "ux+v=w so you do x=w-v/u\r
\n" ); document.write( "\n" ); document.write( "I got it to this point.....(6-4i-4+3i)/(-8+9i).
\n" ); document.write( "I go to solve it by multiplying the top and bottom by -8+9i and do the formlua
\n" ); document.write( "(ac+bd) + (bc-ad)i / c^2+D^2 and then
\n" ); document.write( "((ac+bd)/(c^2+d^2))+((bc-ad)/(c^2+d^2))i. Where am I going wrong?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #8322 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
Let: U=-8+9i, v=4+3i, w=6-4i
\n" ); document.write( "Solve the following equation for : x
\n" ); document.write( "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
\n" ); document.write( "x(-8+9i)+y(4+3i)=(6-4i)
\n" ); document.write( "(-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
\n" ); document.write( "-8x+4y=6..and 9x+3y=-4...now i think you can solve the 2 simultaneous eqns.
\n" ); document.write( "
\n" );