Question

If `[(2, 3), (3, 1)][(x), (y)] = [(-5), (3)]`, then the values of x and y respectively are ______

Options

• 2, -3

• 1, 3

• 3, -1

• -3, 2

Answer 1

If `[(2, 3), (3, 1)][(x), (y)] = [(-5), (3)]`, then the values of x and y respectively are 2, -3.

Explanation:

`[(2, 3), (3, 1)][(x), (y)] = [(-5), (3)]`

⇒ 2x + 3y = -5 and 3x + y = 3

⇒ x = 2, y = -3