Respuesta :

texaschic101
take a look at ur graph....notice that for 2 equations u have 1 line....this means that ur equations have the same line...they are on top of each other...this means they are coincident equations.....coincident equations have infinite solutions....and if they have at least 1 solution they are consistent...so ur answer is coincident and consistent
jscuervo1992

Answer:

The system of equations is  consistent and coincident

Step-by-step explanation:

A system of equations is consistent if it has at least one solution. The system is consistent and coincident if it has a solutions but the number of solutions are infinite. The system is inconsistent if it has no solution.

From your equation we have:

Y= −X+1   (1)

2Y= −2X+2  (2)

Replacing (1) in (2)

2(-X +1 )= -2X + 2

-2X +2 = -2X +2

When we arrive at this type of answer,  the equality is satisfied no matter which value X takes. Any X value solves the equations so any pair of (X,Y) values is a solution of the  so the system of equations is  consistent and coincident. Graphically, as shown in your graph this means that the graphs of both functions interlap in all points.

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