Answer: Inconsistent.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
Solve for "y" in each equation:
Equation 1
[tex] x=-5-y\\\\y=-x-5[/tex]
Equation 2
[tex]4+y=-x+3\\\\y=-x+3-4\\\\y=-x-1[/tex]
You can notice that the slope of the Equation 1 is:
[tex]m_1=-1[/tex]
And the slope of the Equation 2 is:
[tex]m_2=-1[/tex]
Observe that [tex]m_1=m_2[/tex], 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".
