Systems of Equations: Graphing

Systems of Equations: Graphing

Ms. McLean

Open Ended

How was your Christmas break?

Different types of solutions

1. One solution: The solution is where the points intersect

2. No solution: The lines will never intersect so this system does not have an answer

3. Infinite solutions: The lines have the same equation.

How can we find the solution to this system of equations?

1. We can graph this by hand

or

2. We can graph this with desmos

Multiple Choice

What type of solution does this system have?

y = x + 2

y = 3x - 2

• One solution

• No solution

• Infinite solutions

Fill in the Blank

What is the solution to this system of equations?

y = x + 2

y = 3x - 2

Multiple Choice

What type of solution does this system have?

y = 2x + 4

y = x + 2

• One solution

• No solution

• Infinite solutions

Fill in the Blank

What is the solution to this system of equations?

y = 2x + 4

y = x + 2

Multiple Choice

What type of solution does this system have?

y = 2x + 2

y = 2x - 1

• One solution

• No solution

• Infinite solutions

Multiple Choice

What type of solution does this system have?

x - 2y = - 2

y = 1/2x + 1

• One solution

• No solution

• Infinite solutions

Poll

Do you understand this topic?

• Yes

• Kind of

• Not at all

Multiple Choice

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

Multiple Choice

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Multiple Choice

How many solutions will this system have?

• No Solution
• Infinitely Many Solutions
• No Clue
• One solution

Multiple Choice

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Multiple Choice

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Multiple Choice

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)