Will give give an example of a system of two linear equations in two variables with 0, 1, or infinitely many solutions. explain how you can determine whether this system has 0, 1, or infinitely many solutions without graphing. what does this reveal about the relationship between the lines on the graph?

write at least 150–300 words

Step-by-step explanation:

0 solution example

3x+2y=2

3x+2y=4

This is a zero solution example, because you can see that both equations are the same on the left, yet different on the right.

Infinite solution example

3x+2y=2

4y=4-6x

This is an infinite solution example because if you look at both equations, you can see that they are exactly the same.

One solution example

2x+3y=15

x-3y=3

This is an one solution example because if you add the equations you get 3x=18 x=6

plug it in, and you get that x=6, y=1

If a system a infinite solutions, that means that the lines overlap

If a system has no solutions, that means that the lines never touch, or that they are parallel

If a system has one solution, it means that the lines intersect at one point.