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How many solutions exist for the system of equations graphed below? a.) noneb.) onec.) two d.) infinitely many

How many solutions exist for the system of equations graphed below? a.) noneb.) onec-example-1
User NKognito
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1 Answer

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Explanation:

For a system of linear equations, there can be one solution, no solution, or infinitely many solutions.

We can determine this with the graph of the system of equations as follows:

• If the lines are parallel (they do not touch or intercept at any point) there are ,no solutions

,

• If the lines touch are every point (the two lines are the same line) there are ,infinitely many solutions

,

• If the lines only touch at one point then there is ,one solution.

In this case, the lines are not parallel, and they are also not the same line. They touch at one point and therefore, there is one solution which is the point where they intercept.

Answer: One

How many solutions exist for the system of equations graphed below? a.) noneb.) onec-example-1
User Kenny Cason
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