43.9k views
5 votes
I need help on this please

I need help on this please-example-1
User Enhzflep
by
8.4k points

1 Answer

3 votes

Answer:

See below

Explanation:

Graph 1

As we can see by the first graph (on the top), we have two lines that intersect at only one point. As lines go through every point that are solutions to that line, the point that is intersected by both of those lines is a solution to both of the lines.

Since this is the only point that is shared by both of those lines, those lines only have ONE solution, and the reason for this is because the graphs intersect at one point, so that point satisfies both equations.

Graph 2

We can see in the middle graph that there are two lines that do not intersect with each other. Because of this, we can conclude that the lines do not share any solutions with each other, because the lines do not intersect.

Therefore, these lines have no solutions, and the reason for that is because the lines never intersect, so the equations are never satisfied by the same point.

Graph 3

On the bottom graph, we can see there are two lines, one red and one orange that overlap with each other. This means that both of these lines are the same equation, and therefore they share all of their solutions.

This means that these lines have infinitely many solutions. This is because the lines intersect at every point, so the equations are satisfied by all points along the line.

User Piyushmandovra
by
8.2k points

No related questions found