Question 888602
x+y=33
22x+34y=966
1,1,33
22,34,966

divide row 1 by 1/1
1,1,33
22,34,966

add  down (-22/1) *row 1 to row 2
1,1,33
0,12,240

divide row 2 by 12/1
1,1,33
0,1,20

We now have the value for the last variable.
We will work our way up and get the other solutions.

add up  (-1/1) *row 2 to row 1
1,0,13
0,1,20

final
1,0,13 
0,1,20 

13 at $22
20 at $34



(2x-5y=6)
(y=2/5x-6/5)
5y=2x-6
2x-5y-6=0
2x-5y=6

They are the same equations so there are INFINITELY MANY