Question

Solve for x and y:

6(ax + by) = 3a + 2b,

6(bx – ay) = 3b – 2a

Answer 1

The given equations are 

6(ax + by) = 3a + 2b 

⇒6ax + 6by = 3a + 2b ………(i) 

and 6(bx – ay) = 3b – 2a 

⇒6bx – 6ay = 3b – 2a ………(ii) 

On multiplying (i) by a and (ii) by b, we get

Hence, the required solution is x = 1/2 and y = 1/3.