Hello, I have tried this problem out but get stuck on one part.

Find an equation involving g, h and k that makes this augmented matrix consistent.

1 -4 7 g

0 3 -5 h

-2 5 -9 k

so i try and put this in trangular form by multiplying row_1 by 2 and adding it to row_3 and end up with

1 -4 7 g

0 3 -5 h

0 -3 5 k

can i assume since row 2 and row 3 are almost the same, just scaled by -1 that i can take out one of the equations since they are the same? would column 3 be a free variable?