Question 886263
The other tutor is wrong. 
using Gauss Jordan

divide row 1 by 2/1
1,1/2,3/2
3,-2,8



add  down (-3/1) *row 1 to row 2
1,1/2,3/2
0,-7/2,7/2



divide row 2 by -7/2
1,1/2,3/2
0,1,-1



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


final
1,0,2
0,1,-1
x=2
y=-1


Using Cramer's rule/determinants

*[invoke cramers_rule_2x2 2,1,3,3,-2,8]