Question

Find x and y if `[(2x, x),(y, 3y)] [(3),(2)] = [(16),(9)]`

Answer 1

`[(2x, x),(y, 3y)][(3),(2)] = [(16),(9)]`

⇒ `[(2x xx 3 + x xx 2),(y xx 3 + 3y xx 2)] = [(16),(9)]`

⇒ `[(6x + 2x),(3y + 6y)] = [(16),(9)]`

⇒ `[(8x),(9y)] = [(16),(9)]`

Comparing, we get

8x = 16

⇒ x = `(16)/(8)`  = 2

9y = 9

⇒ y = `(9)/(9)` = 1

Here x = 2, y = 1.