Systems of Equations

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (1, -2)

• One Solution: (-2, 1)

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (0, 4)

• One Solution: (0, 6)

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (0, 2)

• One Solution: (2, 6)

Solve by graphing. Show all work on a graph paper.

• (2, 7)
• (7,6)
• (-6,1)
• No Solution

What does it mean to substitute?

• to remember
• to replace or to plug in
• to get rid of or to take away
• to connect the dots

Solve by using substitution method.

• (2, 7)
• (0, 1)
• (2/5, 9/5)
• (2, 5)

Write equations to find total amount of savings for Theresa and Cary.

• Theresa: y = 5x + 1
  Cary: y = x + 3
• Theresa: y = x + 5
  Cary: y = 3x + 1

For equations below, which method is easier to use? Why?

• Graphing, because both are already in y = mx + b form.
• Substitution, because one equation is already solved for y. 
• Elimination, because both are already in ax + by = c form. 
• None. 

For equations below, which method is easier to use? Why?

• Graphing, because both are already in y = mx + b form.
• Substitution, because one equation is already solved for y. 
• Elimination, because both are already in ax + by = c form. 
• None. 

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)