If adding two linear equations gives $x = 5$ and subtracting them gives $y = 5$ , then the graphs of those equations are:
A)perpendicular
B) equal
C) parallel
D) not parallel
E) none of these

Question

If adding two linear equations gives $x = 5$ and subtracting them gives $y = 5$ , then the graphs of those equations are:  
A)perpendicular
B) equal
C) parallel
D) not parallel
E) none of these

Quizplus · Accepted Answer

The fact that adding and subtracting the equations gives unique solutions for $x$ and $y$ respectively indicates that the system of equations has a single solution point, where the lines intersect. This is characteristic of perpendicular lines, assuming standard linear equations without any special conditions. Parallel lines would not intersect, and equal lines would result in infinite solutions, not unique ones.

If Adding Two Linear Equations Gives x=5x = 5x=5 And Subtracting Them Gives

If Adding Two Linear Equations Gives $x = 5$ And Subtracting Them Gives