Question

Look at the system of equations in the box at

the right. Kevin stated that the equations in this system
have the same slope, so there will be infinitely many
solutions. Does Kevin's statement make sense?

Answer 1

No it does not make sense

Explanation:

• If 2 linear equations have the same slope, then they represent two parallel lines
• Parallel lines never cross, so they cannot have any solution

Answer 2

No.

Explanation:

No, Kevin’s statement doesn’t make sense. He is correct that since the two equations have the same slope. Thus, they are parallel to each other.

However, since they are parallel, they will never touch. Therefore, there is no solution.

They will be infinitely many solutions if they are parallel and they have the same y-intercept.