Question 945589
Subtract : 7x + 2y = 19
          -7x + 8y = 13
this is equal to -6y=5 where y will be equal to -5/6

then let y= -5/6
choose any equation 
let have 7x + 2(-5/6) = 19
=> 7x + -5/3 = 19
=> 7x = 19 + 5/3
=> 7x = 62/3
x= 62/3 divided by 7
x= 434/3

on the other hand
x for the other equation would be 79/21

Go for the checking . Hope this answer your problem. by the way, it can be solve by Elimination