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PLEASE HELP 30 points

PLEASE HELP 30 points-example-1
User Parap
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2 Answers

2 votes
1, infinitely many solutions
2, no real solutions
3, (-1,2)
I’m pretty sure those are the answers and I’ll explain if needed! Hopefully this helped!
User Jorge Cevallos
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4.6k points
4 votes

Answer:

1) Infinitely many solutions.

2) No real solutions.

3) (-1, 2)

Explanation:

The solutions of a system of linear equations is whenever the two lines intersect.

However, if the two lines never intersect (they are parallel), then there are no solutions.

And if the two lines are the same line, then there are infinitely many solutions.

First Graph:

The two lines are exactly the same.

Hence, there are infinitely many solutions.

Second Graph:

The two lines are parallel. They will never intersect each other.

Therefore, there are no real solutions.

Third Graph:

The two lines intersect at the point (-1, 2).

Hence, there is only one solution and it is (-1, 2).

User Heroxbd
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5.1k points