Classify the system of equations x=-5-y 4+y=-x+3

Inconsistent.

Step-by-step explanation:

The  equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

Solve for "y" in each equation:

Equation 1

Equation 2

You can notice that the slope of the Equation 1 is:

And the slope of the Equation 2 is:

Observe that , then you can conclude that the lines are parallel and the System of equations has No solution.

When there is no solution the classification  of the system of equations is: "Inconsistent".