OK, before we continue, you always write down the ENTIRE system after each step, not just one side of it. All operations need to be done to both sides of each equation after all.
Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure.
3x1 + 6x2 = 6
4x1 + 7x2 = 11
Ok so first I multiply each entry in row 1 by 1/3 to get 1 in the first column in row 1.
Making it
1 2 2
4 7 11
Then I multiply by -4 and add to get row 2 column 1 to = 0
So
1 2 2
0 -1 3
Then I multiply each entry in row 2 by -1 to make it positive
there it's
1 2 2
0 1 -3
Now I multiply each entry in row 2 by -2 and add it to row 1 to make column 2 in row 1 a 0.
Now it's
1 0 -4
0 1 -3
x1 = -4
x2 = -3
3(-4)+6(-3) = -30
4(-4)+7(-3) = -37
Where did I go wrong? >.<