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