Question

Choose the correct answer from the given four options :

If `x[(2),(3)] + y[(-1),(0)] = [(10),(6)]` then the values of x and y are

Options

•  x = 2, y = 6

• x = 2, y = – 6

• x = 3, y = – 4

• x = 3, y = – 6

Answer 1

Given
`x[(2),(3)] + y[(-1),(0)] = [(10),(6)]`

⇒ `[(2x),(3x)] + [(-y),(0)] = [(10),(6)]`

⇒ `[(2x - y),(3x + 0)] = [(10),(6)]`

⇒ `[(2x - y),(3x)] = [(10),(6)]`
Comapring, we get
3x = 6
⇒ x = `(6)/(3)` = 2
and
2x – y = 10
2 x 2 – y = 10
⇒ 4 – y = 10
⇒ –y = 10 – 4 = 6
⇒ y = –6
∴ x = 2, y = –6.