Question

Find the values of x and y if

`2 [(x,5),(7,y-3)] [(3,-4),(1,2)] = [(7,6),(15,14)]`

Answer 1

Given  `2 [(x,5),(7,y-3)] [(3,-4),(1,2)] = [(7,6),(15,14)]`

`=> [(2x,10),(14,2y-6)] + [(3 ,-4),(1,2)] = [(7,6),(15,14)]`

`=> [(2x+3,6),(15,2y-4)] = [(7,6),(15,14)]`

By equations of matrices 

2x + 3 = 7 and 2y - 4 = 14 

⇒ 2x = 4 and 2y = 18 

∴ x = 2 and y = 9.