Question

Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
y = -5x – 2
5x + y = 0

Answer 1

-2≠0 Inconstant and dependent

Substitute y for -5x-2
So instead of “5x+y=0” it’s
5x-5x-2
5x-5x is obvious 0
0-2 = -2
-2 ≠ 0
Because -2 does not equal 0 it is inconsistent
Because you could not figure out that y is -5x -2 in this case, it in dependent