220k views
4 votes
If the equations in a system of equations have the same slope and the same y-intercept, how many solutions are there?

a. one solution
b. no solution
c. infinitely many solutions

User KOssi
by
6.2k points

1 Answer

4 votes

Answer:

infinitely many solutions

Explanation:

When the system of equations have different slopes and different y intercept then the system has only one solution (exactly one solution)

When the system of equations have same slopes and different y intercept then the lines are parallel and they have no solution

When the system of equations have same slopes and same y intercept then the lines are one above the other and they have infinite solutions

If the equations in a system of equations have the same slope and the same y-intercept then they have infinitely many solutions.

User Tinaheidinger
by
5.8k points