Identify Solutions from System of Equations

What is a solution of a linear system?

• the slope of the line

• the y-intercept

• the point where the graphs intersect

• the rise over run

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

Solve the system of equations

• Infinite solutions

• (2, -2)

• (1, 0)

• (3, -4)

What is the solution to this system of equations?

• (1,0)

• (-3, -1)

• (-1,-3)

• (1,3)

What is the solution to the system of equations?

• (3, -2)

• (3, -3)

• (-3, 2)

• (-3, -2)

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

If a system of linear equations has 1 solution, the solution is the ____________ of intersection

• slope

• opposite

• point

Homer sells tickets for admission to the school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21

  6a + 4c = 104

• a + c = 104

  6a + 4c = 21

• a + c = 21

  6c + 4a = 104

• a + c = 104

  6c + 4a = 21

Enterprise charges to rent compact cars for a fixed amount per day plus a fixed amount for each mile driven. Batman rented a car for 6 days, drove it 550 miles and spent $337. Superman rented the same car for 3 days, drove for 350 miles and spent $185. Set up the system. Let "d" represent the fixed charge per day and "m" represent the cost per mile.

• 6d + 550m = 337

  3d + 350m = 185

• 6d + 550m = 185

  3d + 350m = 337

• 6m + 550d = 337

  3m + 350d = 185

• 6m + 550d = 185

  3m + 350d = 337