Respuesta :

Answer:

The correct option is First. i.e consistent.

The System shown is consistent.

Step-by-step explanation:

Consistent:

A consistent system of equations is a system that has at least one solution.

Our System in graph has only and only ONE solution that is on X-axis

Where the lines are intersecting each other.

Hence, The System shown is consistent.

Inconsistent:

An inconsistent system of equations is a system that has no solution.

Equivalent:

Systems of equations that have the same solution are called equivalent systems. Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.