Thread: True or False

1. True or False

If two linear systems have exactly the same solutions, then they have the same augmented matrix. True or False? I think it would be false? Why?

2. Re: True or False

False.

(S1):

$x+y=5$
$x-y=3$

(S2):

$2x+2y=10$
$2x-2y=6$

(S3):

$3x-2y=10$
$x+5y=9$