System of Equations

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

A ________________ is a set of two or more equations that have the same variables.

• solution of a system
• elimination method
• system of equations
• table

A system of equations with no solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

A system of equations with one solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

A system of equations with infinitely many solutions will have lines that...

• are the same

• cross in one place

• are parallel and never touch

The graph above represents the allowance that Stefin and Daniel receive every week. If the x-axis represents the number of weeks and the y-axis represents the earnings ($), what is the amount of earnings that both boys will have the same?

• $4

• $2

• $6

• $8

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅