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Verified Answer :

Answer:

The system of equations is inconsistent

Step-by-step explanation:

we have

\(x+y=6\)

\(y=6-x\) -----> equation A

\(y=3-x\) -----> equation B

equation A and equation B has the same slope

so

The lines are parallel

The system has no solution

therefore

The system of equations is inconsistent

Answer:

Equations are inconsistent.

Step-by-step explanation:

Given : x + y = 6

            y = 3 - x.

To find : Identify the type of system.

Solution : We have given that

   x + y = 6  →→→→→→→( equation 1).

    y = 3 - x →→→→→→→( equation 2).

Plugging the values of y = 3 - x from equation (2) in equation (1).

x + (3 - x ) = 6

x + 3 - x = 6.

3 = 6

It has no solution ,  these lines are parallel.

Therefore, Equations are inconsistent.