If the addition or subtraction of two linear equations results in the equation $0 = 3$ , then the graphs of those equations are ______.
A)equal
B) not parallel
C) perpendicular
D) parallel
E) none of the above

Question

If the addition or subtraction of two linear equations results in the equation $0 = 3$ , then the graphs of those equations are ______.  
A)equal
B) not parallel
C) perpendicular
D) parallel
E) none of the above

Quizplus · Accepted Answer

When the addition or subtraction of two linear equations results in an equation like $0 = 3$, it indicates that the system has no solution, which happens when the lines are parallel. Parallel lines never intersect, hence no solution to the system.

If the Addition or Subtraction of Two Linear Equations Results 0=30 = 30=3

If the Addition or Subtraction of Two Linear Equations Results $0 = 3$