Question 942088
you can multiply both sides of equation 2 by -2 to get 


3x-y=17 
-2*(3x-y)=-2*17
-6x+2y = -34


so we now have this new system


x-2y=9
-6x+2y = -34 



Add the equations


x-2y=9
-6x+2y = -34
------------
-5x+0y = -25


So -5x = -25 which means x = 5


Use this to find y.


x-2y=9
5-2y=9 ... plug in x = 5, solve for y
-2y = 9-5
-2y = 4
y = 4/(-2)
y = -2


So the ordered pair solution is (5,-2)