Question

Which describes the system of equations below?

y = −10x−10
y = −10x+9

Option 1: Inconsistent system
Option 2: Consistent and independent system
Option 3: Consistent and dependent system
Option 4: System has no solution

Answer 1

The system of equations y = −10x−10 and y = −10x+9 is a consistent and dependent system.

Step-by-step explanation:

The system of equations y = −10x−10 and y = −10x+9 is a consistent and dependent system. This means that the two equations represent the same line. If we graph these equations, we would find that the lines are coincident and overlap each other completely, indicating that they have infinite solutions in common. In other words, every point on one line is also a point on the other line. Thus, the correct option is Option 3: Consistent and dependent system.