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KCET2023MathematicsMatrices

If x [ array l 3 2 array ]+y [ array r 1 -1 array ]= [ array l 15 5 array ] , then the value of x and y are

Options

  1. Ax=4, y=-3
  2. Bx=-4, y=-3
  3. Cx=-4, y=3
  4. Dx=4, y=3

Correct answer

D. x=4, y=3

Step-by-step solution

We have, aligned & x [ array l 3 2 array ]+y [ array c 1 -1 array ]= [ array c 15 5 array ] & [ array l 3 x 2 x array ]+ [ array c y -y array ]= [ array c 15 5 array ] & [ array l 3 x+y 2 x-y array ]= [ 15 5 ] aligned 3 x+y=152 x-y=5 Adding Eqs. (i) and (ii), we get 5 x=20 x=4 So, y=15-3 x [From Eq. (i)] y=15-3 4=3

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