SOLUTION: Can you help me solve this equation: (5 - i)x + 2 -3i=(3 - 2i)x + 3 - i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Can you help me solve this equation: (5 - i)x + 2 -3i=(3 - 2i)x + 3 - i      Log On


   

Question 26887: Can you help me solve this equation:
(5 - i)x + 2 -3i=(3 - 2i)x + 3 - i
Answer by tran3209(100) About Me  (Show Source):
You can put this solution on YOUR website!
(5-i)x+2-3i=(3-2i)x+3-i
5x-xi+2-3i=3x-2xi+3-i
5x-3x-xi+2xi=3-2-i+3i
2x+xi=1+2i
x(2+i)=1+2i
x=1+2i/2+i multiply by 2-i/2-i
x=(1+2i/2+i)(2-i/2-i)
x=(1+2i)(2-i)/(2+i)(2-i) (2+i)(2-i)= 4-i^2 replace i^2 by -1 4-(-1)=5
(1+2i)(2-i)=2+4i-i-2i^2 replace i^2 by -1
=2+3i+2= 4+3i
x= 4+3i/5 or 4/5+3i/5
Answer x=4/5+3i/5