[size=3]Hello, dekorn24!

i am given the already reduced matrix:

. . 1 2 0 | 3

. . 0 0 1 | 5

. . 0 0 0 | 0

I need to find how to write the infinite solution of the system using variable t.

We have: .x + y .= .3

. . . . . . . . . . .z .= .5

Get everthing "in terms ofy"

. . . . . . . . . x .= .3 - y

. . . . . . . . . y .= .y

. . . . . . . . . z .= .5

On the right, replaceywitht.

And we have: .x .= .3 - t

. . . . . . . . . . .y .= .t

. . . . . . . . . . .z .= .5