Questions: 1) Define the number of solutions to the systems graphed above. No solutions. An infinite number of solutions. One solution. 2) Is this system consistent or inconsistent? This is a consistent system. This is an inconsistent system.

1) Define the number of solutions to the systems graphed above.
No solutions.
An infinite number of solutions.
One solution.
2) Is this system consistent or inconsistent?
This is a consistent system.
This is an inconsistent system.

Transcript text: 1) Define the number of solutions to the systems graphed above. No solutions. An infinite number of solutions. One solution. 2) Is this system consistent or inconsistent? This is a consistent system. This is an inconsistent system.

Solution

Solution Steps

Step 1: Identify the Intersection Point

The graph shows two lines intersecting at a single point. This indicates that there is exactly one solution to the system of equations.

Final Answer

One solution.

Step 2: Determine Consistency

A system of equations that has at least one solution is considered consistent. Since the system has one solution, it is consistent.

Final Answer

This is a consistent system.

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