Using Matrices solve the following system

x1 - x2 + 2*x3 = -4
3*x1 - 2*x2 + 3*x3 = 1
2*x1 - 2*x3 =2

x1 is x sub 1
x2 is x sub 2
x3 is x sub 3

Stuck and don't know what to do. Thanks for the help.

Use Gaussian Elimination to get to Reduced Row Echelon Form

1 -1 2 -4
3 -2 3 1 r2-3r1
2 0 2 2 r3-2r1

1 -1 2 -4
0 1 -3 13
0 2 -2 10 r3-2r2

1 -1 2 -4
0 1 -3 13
0 0 4 -16 r3/4

1 -1 2 -4 r1-2r3
0 1 -3 13 r2+3r3
0 0 1 -4

1 -1 0 4 r1+r2
0 1 0 1
0 0 1 -4

1 0 0 5
0 1 0 1
0 0 1 -4

so x1= 5, x2= 1, x3= -4