Question

If `[(2x - y),(x + y)] = [(9),(9)]`, the value of x and y are ______.

पर्याय

• x = 3 and y = 3

• x = 3 and y = 9

• x = 3 and y = 6

• x = 6 and y = 3

Answer 1

If `[(2x - y),(x + y)] = [(9),(9)]` the value of x and y are x = 6 and y = 3.

Explanation:

Given `[(2x - y),(x + y)] = [(9),(9)]`

Thus, corresponding elements are equal.

∴ 2x – y = 9  ...(1)

x + y = 9  ...(2)

On adding equation (1) and equation (2); we have

3x = 18

`\implies` x = 6

∴ From (2); 6 + y = 9

`\implies` y = 9 – 6 = 3