Answer:
The lines never intersect because the lines are parallel.
Step-by-step explanation:
Given system of linear equations is:
y = -x +5
y=-x-3
The slope-intercept form of a line is:
[tex]y = mx+b[/tex]
Here b is the y-intercept and the co-efficient of x is the slope of the line
Comparing the given equations with slope intercept form we get that the slope of both lines is -1
Both lines have the equal slope which means that the lines are parallel.
Parallel lines NEVER intersect each other.
Hence,
The lines never intersect because the lines are parallel.
