Systems of Equations in Real World on Graph

What is the solution to the system of linear equations from the graph?

• No solution

• Infinite Solutions

• (0,1)

• (1,0)

• 1

A solution to a system tells us when...

• x and y are the SAME for both equations

• x is GREATER than y on one equation

• y is GREATER than x on one equation

• x and y START on the graph

There are 47 people attending a play at an outdoor theater. There are 11 groups of people sitting in groups of 3 or 5. Which system of equations best represents this story?

The two tables show Calvin and Elaina's earnings per hour. When do they both earn the same amount?

• After 10 hours of work they both earn $250.

• Elaina always earns more.

• Calvin always earns more.

• After 5 hours of work they both earn $125.

Decide if the following statements are true or false about the graph.

Groups:

(a) True

,

(b) False

• The slope(m) of the lines are equal

• The line are parallel, so the system has no solution

• The lines will not intersect, so the system has no solution

• The lines are perpendicular which means they will not ever cross.

• The lines will eventually touch, so the system has one solution

• The slopes are equal, so the system has infinitely many solutions

Solve the system of equations by graphing.

• (0, 3)

• (5, 5)

• (-4, 6)

• (6, -4)

Solve the system of equations by graphing.

• (-1, 4)

• (1, 0)

• No Solution

• (0, 2)

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Solve the system of equations by graphing.

• (2, -5)

• (2, 5)

• (4, -6)

• (-2, -3)

Solve the system of equations by graphing.

• (4, 7)

• (3, 5)

• (6, 7)

• (5, 3)