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A system of equations is graphed on the coordinate plane.
y=-2x-3
y=-2x+2 how would you classify this system of equations?

A system of equations is graphed on the coordinate plane y2x3 y2x2 how would you classify this system of equations class=

Respuesta :

Answer:

Inconsistent

Step-by-step explanation:

we know that

If a  system of two linear equations have at least one solution, it is said to be consistent .

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

If a consistent system has an infinite number of solutions, it is dependent .

If a  system of two linear equations no have solution, it is said to be inconsistent.

Remember that

When solving a system of linear equations by graphing, the solution of the system is the intersection point both graphs

In this problem we have

[tex]y=-2x-3[/tex] ----> equation A

[tex]y=-2x+2[/tex] ----> equation B

Their slopes are equal (m=-2) and their y-intercept are different

so

we have two different parallel lines

The lines not intersect

therefore

The system has no solution, because is inconsistent