One Solution No Solution Infinitely Many Solutions Systems of Equations

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Which is a true statement about the system of equations graphed below?

• The system of equations does not have a solution because

  the lines do not intersect.

• The system of equations has one solution, although it is not

  visible on the graph.

• The system of equations has an infinite number of solutions.

• None of the statements above are true.

What is the Solution to this system?

• (2,-2)

• (-2,2)

• All Real Numbers

• No Solution

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Solve by inspection

y= ¾ x + 5

y= ¾ x + 2

• No Solution

• One Solution

• Infinitely Many Solutions

• No Solution

• One Solution

• Infinitely Many Solutions

Jane is practicing solving systems of equations by inspection. She thinks that y = 5/6x + 2 and y = 5/6x – 2 would have exactly one solution. Is she correct? Why or why not?

Evaluate responses using AI:

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Does the system have one, none or infinite solutions?

y = 2x -11

y = 2x +5

• One

• None

• Infinitely many solutions

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions