Question

matt and brian were solving a system of equations. they both noticed that the two lines had the same slope. brian said that because each line in the system had the same slope, the two lines had to be parallel, which meant the solution to the system was "no solution" matt disagreed, and said they should also look at the y-intercepts before determining how many solutions there were. who is correct?

Answer 1

Answer:

Matt is correct

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

In this problem we can have two cases

case 1) The two equations are equal, in this case the system has infinite solutions

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

therefore

Matt is correct