Question 1118042
2x+4y=2

-3x+y=11
--------------------------
<pre>

| 2   4   -2|
|-3   1  -11|
</pre>
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.
<pre>

| 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|

</pre>
Same answers, the hard way.