Question

A system of linear equations contains two equations with the same slope.

Select all of the correct statements.
I A. The system may have two solutions.
-
B. The system may have infinitely many solutions.
C. The system may have one solution.
O
D. The system may have no solution.
SUBMIT

Answer 1

B. The system may have infinitely many solutions

D. The system may have no solution

Explanation:

we know that

If a system of linear equations contains two equations with the same slope

then

we may have two cases

case 1) The two equations are identical, in this case we are going to have infinite solutions

case 2) The two equations have the same slope but different y-intercept, (parallel lines) in that case the system has no solution.