Maths · Algebra of complex numbers
If x+(1+i) y=1-3 i, \) then = \)
If \( (1-i) x+(1+i) y=1-3 i, \) then \( (x, y)= \)
- A. (2,-1)
- B. (-2,-1)
- C. (-2,1)
- D. (2,1)
Step-by-step solution
Expand and equate real and imaginary parts: (x+y) + i(-x+y) = 1-3i. So x+y=1 and -x+y=-3. Solving gives x=2, y=-1.
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