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प्रश्न
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
उत्तर
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
संबंधित प्रश्न
If `[(2, 0),(0, 4)][(x),(y)] = [(2),(-8)]`, the value of x and y respectively are ______.
A = `[(x, 0),(1, 1)]`, B = `[(4, 0),(y, 1)]` and C = `[(4, 0),(x, 1)]`. Find the values of x and y, if AB = C.
If A = `[(3, -2)]` and B = `[(-1, 4),(2, 0)]`
Assertion (A): Product AB of the two matrices A and B is possible.
Reason (R): Number of columns of matrix A is equal to number of rows in matrix B.
If `[(x + 2, 7),(y + 3, a - 2)] = [(4, b - 3),(4, 3)]`, the value of x, y, a and b are ______.
If A = `[(4, x),(0, 1)]`, B = `[(2, 12),(0, 1)]` and A = B2, the value of x is ______.
