SOLUTION: SOLVE THE SYSTEM USING THE GAUSS-JORDAN METHOD PROBLEM: 2x-y= 0 x+y= 3 I'M STILL VERY CONFUSED BY THE SOLVING PROCESS.. I DO UNDERSTAND THE BASIC FORMULA [ 1 0.. AND

Question 136220: SOLVE THE SYSTEM USING THE GAUSS-JORDAN METHOD
PROBLEM: 2x-y= 0
x+y= 3
I'M STILL VERY CONFUSED BY THE SOLVING PROCESS.. I DO UNDERSTAND THE BASIC FORMULA [ 1 0.. AND BENEATH THAT IS 0 1..] AND I DO UNDERSTAND HOW TO FIRST SET IT UP... [ 2 -1..0]
[ 1 1..3]
YET FROM HERE I JUST GET FRUSTRATED AND IT SEEMS LIKE NO MATTER HOW MANY TIMES I TRY, I GET NOWHERE.. PLEASE HELP.. THANK YOU SO MUCH, lj23kfuller@yahoo.com
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Swap row 1 and row 2:

Multiply row 1 by -2, then add the result to row 2, replacing row 2 with the result:
Row 1 times -2 is -2, -2, -6
Result added to row 2 is 2-2=0, -1-2=-3, 0-6=-6, so:

Multiply row 2 by and replace row 2 with the result:

Multiply row 2 by -1, then add the result to row 1, replacing row 1 with the result:
Row 2 times -1 is 0, -1, -2
Result added to row 1 is 1+0=1, 1-1=0, 3-2=1, so:

So:
and
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