Given the following system of equations, identify the type of system.

x + y = 4
x - y = 6

consistent
inconsistent
equivalent

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

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.

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step-by-step explanatio89

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step-by-step explanation: