Question

$y = -x - 5$
$y = -x - 5$
which describes the system of equations above?
consistent and dependent
consistent and independent
inconsistent

Explanation:

Step1: Analyze equation similarity

Both equations are identical: $y = -x -5$.

Step2: Define system types

A consistent system has at least one solution. Dependent systems have infinitely many solutions (same line).

Step3: Match to category

Since the equations are the same, they represent the same line, so there are infinitely many solutions, making the system consistent and dependent.

Answer:

consistent and dependent