Solutions to Linear Equations Using a Graph

A system of linear equations is... 

• Math Magic
• One Equation
• Always more than 2 equations
• A set of 2 or more equations

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

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

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

How many solutions will this system have? 

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

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

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

• (-4, 2)
• (4, 2)
• (2, -4)
• (2, 4)

Solve for x and y by graphing the system

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.

Write a system of linear equations to represent this situation.

• y = 40x + 25

  y = 30x + 25

• y = 25x + 40

  y = 30x + 25

• y = 25x + 40

• y = 25x + 40

  y = 25x + 30

What does the x represent in this situation?
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25

• price of a saxophone
• rental fee
• total cost
• number of months

The solution of a system of linear equations is...

• the y-intercept (b)
• the intersection of the two equations on a graph
• the second equations' answers
• the slope (m)