# WILL GIVE BRAINLIEST!! 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 please

1 answer

###### Question:

WILL GIVE BRAINLIEST!! 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 please

Write at least 150–300 words please

## Answers

Answer:Step-by-step explanation:0 solution example3x+2y=23x+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 example3x+2y=24y=4-6xThis is an infinite solution example because if you look at both equations, you can see that they are exactly the same.One solution example2x+3y=15x-3y=3This is an one solution example because if you add the equations you get 3x=18 x=6plug it in, and you get that x=6, y=1If a system a infinite solutions, that means that the lines overlapIf a system has no solutions, that means that the lines never touch, or that they are parallelIf a system has one solution, it means that the lines intersect at one point.

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