x+y=6
4x-y=19
Thank you
You need to put it in matrix form, then row reduce.
So, start with:
[1 1 6
4 -1 19]
Add row 1 to row 2:
[1 1 6
5 0 15]
Divide row 2 by 5:
[1 1 6
1 0 3]
Swap rows:
[1 0 5
1 1 6]
At this point, you have echelon form. The easiest way to go from here is to note x = 5, and substitute into y + x = 6.
However, if you need to be in reduced echelon form:
Subtract row 1 from row 2:
[1 0 5
0 1 1]
This gives you the two solution equations:
x = 5
y = 1
Hope this helps.