A consistent, independent system of equations is a system with ________.

A. Intersecting lines that have different slopes and different y-intercepts.

B. Intersecting lines that have the same slope and same y-intercepts.

C. Intersecting lines that have the same slope but different y-intercepts.

D. Only one line.

Respuesta :

Answer:

Option A. Intersecting lines that have different slopes and different y-intercepts.

Step-by-step explanation:

we know that

A system of two linear equations can have one solution, an infinite number of solutions, or no solution.

If a system has at least one solution, it is said to be consistent

If a consistent system has exactly one solution, it is independent

If we have intersecting lines that have different slopes and different y-intercepts

then

will have one solution

therefore

The system will be consistent independent