Linear Systems of Equations with Graphing

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

• t: # of tacos

  m: # of glasses of milk

• t: Cost of each taco

  m: Cost of each glass of milk

• t: total cost

  m: # of food items

• t: Cost of each glass of milk

  m: Cost of each taco

Solve by graphing:
y=5x+3

y=-2x-4

• (2,-1)

• (-1,-2)

• (1,-2)

• (-2,-1)

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

Identify the solution to the system using the graph.

• (0,0)

• (1,1)

• (2,2)

• (3,3)

How many solutions does the system of equations have?

• One solution

• No solution

• Infinite solutions

What is the solutions to the following system of equations?

• (0, 3)

• (0, -1)

• (-1, 2)

• Infinity Many Solutions

• No Solution

The system's solution occurs at

• (1, 4)

• (4, 1)

• (-4, 1)

• No solution

How many solutions does the system have?

• one

• none

• infinitely many