Question 901090
1/3,1,4/3
1/6,1/5,7/6

divide row 1 by 1/3
1,3,4
1/6,1/5,7/6

add  down (-1/6) *row 1 to row 2
1,3,4
0,-9/30,18/36

divide row 2 by -3/10
1,3,4
0,1,10/-6

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

add up  (-3) *row 2 to row 1
1,0,9
0,1,-5/3

final
1,0,9
0,1,-5/3

1,0,9
0,1,-5/3 = -1.66666667
"9","-5/3"
(9,-5/3)