Question

which of the following graphs has one, non or infinite solutions

Answer 1

Answer:

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If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Answer 2

Complete Question:

Which of the following graphs has one, non or infinite solutions?

Graph is attached below.

Explanation for the answer:

The solution for a system of equations refers to the value or values that are true for all equations in the system.

One Solution

If the graphs of the equations intersect, then there is only one solution that is true for both equations.

No Solutions

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both the equations.

Infinite Solutions

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Answer:

• The graph of item number 1 shows no intersection at all. Also, these two lines are parallel. So, there is no solution.
• The graph of item number 2 shows one intersection. So, this system has one solution and that is the ordered pair of the intersection.
• The graph of item number 3 shows infinitely many solutions as these two lines are on top of each other.

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