Question

Solve using augmented matrix methods:
3x-y=-5
x+3y=5

So far I created the matrix:
3 -1 -5
1 3 5

Where do I go from here? I think I can switch rows 1 and 2 but I'm not sure what else.

Answer 1

{-1, 2}

Answer 2

Sorry but what does that mean? I need help with solving it, not an answer per se

Answer 3

we have to do row operations. I would switch rows because that puts a 1 in the first diagonal.

Answer 4

now we want the number below that to be a zero.

Answer 5

1 3 5 keep this row the same
3 -1 -5 add ( -3 times row 1 ) to row 2

1 3 5
0 -10 -20 divide by -10 to achieve a 1 in the lower right

1 3 5
0 1 2

Answer 6

1 3 5 add ( -3 times row 2 ) to row 1
0 1 2

1 0 -1
0 1 2

Answer 7

Did you follow that?

Answer 8

Crystal clear! Thanks so much!

Answer 9

yup, basically once you achieved the correct zero going down, shift down a line and continue. once you get the lower right, go back up

good luck