Solve using Augmented Matrix Methods

Question

-4(x1) + 6(x2) = -8
6(x1) - 9(x2) = 12

Answer 1

-4 6 -8
6 -9 12
-->
2 -3 4
3 -3 4
-->
1 0 0 ---- #2 - #1
2 -3 4 --- #1
--->
1 0 0
0 3 -4 -- 2(#1) - #2

1 0 0
0 1 -4/3 --- #2/3

x1=0, x2 = -4/3

(poor choice of method for such a simple system)