SOLUTION: Solve this equation using matrices. 2x-3y+z=5 x+3y+8z=22 3x-y+2z=12 I have already done the augmented matrix. 2 -3 1 5 1 3 8 22 3 -1 2 12 and switched R1 and R2 1 3 8

Algebra ->  Matrices-and-determiminant -> SOLUTION: Solve this equation using matrices. 2x-3y+z=5 x+3y+8z=22 3x-y+2z=12 I have already done the augmented matrix. 2 -3 1 5 1 3 8 22 3 -1 2 12 and switched R1 and R2 1 3 8       Log On


   



Question 441885: Solve this equation using matrices.
2x-3y+z=5
x+3y+8z=22
3x-y+2z=12
I have already done the augmented matrix.
2 -3 1 5
1 3 8 22
3 -1 2 12
and switched R1 and R2
1 3 8 22
2 -3 1 5
3 -1 2 12
-2R1 + R2 & -3R1+R2
1 3 8 22
0 -9 -15 -39
0 -10 -22 -54
and here is where I get stuck! I know I have to get a 1 in the second row,second column. I just can't seem to do it without fractions. My teacher also provides me with the answer (3,1,2)

Answer by rwm(914) About Me  (Show Source):
You can put this solution on YOUR website!
subtract third from second
to get +1
-9-(-10)=+1