Question

7x+8y=22
6x+5y=17 find the value of x and y

Answer 1

x=2 & y=1 is a solution

Answer 2

Lets try a hit and trail method instead of solving 
by substitution or elimination method,

Lets think how to make 22 by 7x + 8y
If we take x=2 and y = 1 
then, 14 + 8 = 22

Now, lets conform x=2 and y = 1
by putting in eqn  6x+5y=17
⇒ 12 + 5 = 17

∴ we can conclude that
x =  2 and y = 1