SOLUTION: Final time and correct this time ! Evaluate Z1 + Z2 and Z1/Z2 in Cartesian Form where Z1=1-j3 and Z2=-2+j3 Help Thanks

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Final time and correct this time ! Evaluate Z1 + Z2 and Z1/Z2 in Cartesian Form where Z1=1-j3 and Z2=-2+j3 Help Thanks      Log On


   

Question 1081447: Final time and correct this time !
Evaluate Z1 + Z2 and Z1/Z2 in Cartesian Form where Z1=1-j3 and Z2=-2+j3
Help
Thanks
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%281-3j%29%2B%28-2%2B3j%29=%281-2%29%2B%28-3%2B3%29j=-1
.
.
.
%281-3j%29%2F%28-2%2B3j%29=c%2Bdj
1-3j=-2c%2B3cj-2di%2B3dj%5E2
1-3j=%28-2c-3d%29%2B%283c-2d%29j
So,
1.-2c-3d=1
2.3c-2d=-3
Multiply eq. 1 by 3 and eq. 2 by 2 and add,
-6c-9d%2B6c-4d=3-6
-13d=-3
d=3%2F13
and
3c-2%283%2F13%29=-3
3c-6%2F13=-39%2F13
3c=-39%2F13%2B6%2F13
3c=-33%2F13
c=-11%2F13
So,
%281-3j%29%2F%28-2%2B3j%29=-%2811%2F13%29%2B%283%2F13%29j