You can
put this solution on YOUR website! 2x+4y=2
-3x+y=11
--------------------------
| 2 4 -2|
|-3 1 -11|
Det = 2*1 - (-3)*4 = 14
---
x*Det = 4*-11 + 1*2 = -42
x = -3
------
-y*Det = 2*-11 - 6 = -28
y = 2
=============
A different method, I think the method you mentioned.
| 2 4 2|
|-3 1 11|
---------------
| 1 2 1| /2
|-6 2 22| times 2
--------------- Subtract --> Row 1
| 7 0 -21| /7
|-3 1 11|
---------------
| 1 0 -3|
|-3 1 11|
---------------
| 3 0 -9| times 3
|-3 1 11|
--------------- Add --> row 2
| 1 0 -3|
| 0 1 2|
Same answers, the hard way.
