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KCET2022MathematicsComplex Number

If 3 x+i(4 x-y)=6-i where x and y are real numbers, then the values of x and y are respectively,

Options

  1. A3, 9
  2. B2, 4
  3. C2, 9
  4. D3, 4

Correct answer

C. 2, 9

Step-by-step solution

3 x+i(4 x-y)=6-i On comparing real and imaginary parts of LHS and RHS, we get aligned & 3 x=6 and 4 x-y=-1 & 3 x=6 x=2 & Put x=2 into 4 x-y=-1 , we get & 4 2-y=-1 & 8+1=y y=9 & aligned

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