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arlik [135]
3 years ago
5

Match each system of linear equations with the correct number of solutions

Mathematics
2 answers:
nadezda [96]3 years ago
4 0

Answer:

1 - No solution

2 - Infinitely many solutions

3 - One solution

Step-by-step explanation:

<em>Hey there!</em>

<em />

Well to find if there is no solution, one solution, or infinitely many we need to look at the slope and y intercept.

1) - No solution

This is no solution because both slopes are the same meaning they are parallel meaning they have no solution.

2) - Infinitely many solutions

We need to convert into slope-intercept.

y = -x + 4

y = -x + 4

Since both slopes and y-intercepts are the same they overlap meaning they have infinite solutions.

3) - One solution

Slope-intercept,

y = -3x + 11

y = -1/3x + 1/3

Because both slopes are y-intercepts are different they have only one solution.

<em>Hope this helps :)</em>

kondaur [170]3 years ago
3 0

Answer:

Hey there!

The first equation has no solutions, as it is parallel lines.

The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.

The third equation is just one solution.

Let me know if this helps :)

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