Linear equations inconsistent or dependent

Question

Identify whether each system of linear equations is inconsistent or dependent. Justify your answer. 

 

1.)

1/3x-3y=1

x=9y+8

 

 

2.)

7x-14y-28=0

3x=12-6y

Answer 1

The first one is inconsistent.

1/3x-3y=1

x=9y+8

is the same as;

1/3x-3y=1

1/3x-3y=8/3

Which are two parallel lines.

 #2 is independent because it's two intersecting lines.