Systems with Graphs
Solving by Substitution
How many Solutions?
Random
100

Solve the system by graphing

y= 3x -2

y= x -6

(2,4)

100

Solve the systems of equations:

y= 4x + 4

y = 5x + 6

(-2,-4)

100

How many solutions does this system have?

y= 5x - 5

y= 5x + 5

No Solutions

100

2+2=

4

200

y= 1/2x -1

y= -3/2x + 3

(2,0)

200

Solve the systems of equations:

y= -5x - 10

y= -2x - 1

(-3,5)

200

How many solutions does this system have?

y= -1/2x + 3 

y= 1/2x + 3

One Solutions

200

What is a group of owls called?

a parliament

300

Solve Using Graphing:

y= 4/5x - 4

x= 5


(5,0)

300

Solve the systems of equations:

y= 6x + 4

y= 5x + 2

(-2,-8)

300

How many solutions does this system have?

y= 6x + 8

y= 2(3x + 4)

Infinite Solutions

300

How many dimples are on an average golf ball?

336

400

y= x - 3

y= -x + 5

(4,1)

400

Solve the systems of equations:

y= x - 6

y= -2x + 9

(5,-1)

400

How many solutions does this system have?

y= 4(x + 6)

y= 3(x + 8) + x

Infinite Solutions

400

How long does it take the International Space Station to orbit earth?

Approximately 90 minutes

500

Solve by graphing:

y= 5/3x + 5

y= -x -3

(-3,0)

500

Solve the systems of equations:

y= x - 9

y= -2x + 9

(6,-3)

500

How many solutions does this system have?

y= 1/3(6x - 12) + 3x

y= -1/2(-4x + 8) - x

One Solution

500

How many Greek gods and goddesses resided on Mount Olympus?

12 - Zeus, Hera, Poseidon, Demeter, Athena, Apollo, Artemis, Ares, Hephaestus, Aphrodite, Hermes, Hestia