Systems of Equations

Substitution

100

y=4

x=y-5

(-1,4)

200

y=8-x

y=3x+4

(1,7)

300

y=2x-1

2x+3y=-7

(-1/2, -2)

400

2x+3y=12

x+y=5

(3,2)

500

2x-3y=5

4x-6y=10

Infinite solutions

Elimination

100

2x+3y=15

x-3y=3

(6,1)

200

3x+3y=12

2x-3y=18

(6,-2)

300

-6x+7y=5

-x+7y=-5

(-2,-1)

400

4x-3y=9

16x-12y=2

No solution

500

9x-5y=20

6x+3y=-12

(0,-4)

Making connections!

100

What does the solution of a system of equations represent on a graph?

Intersection point

200

How do we write a solution to a system of equations?

(x,y)

300

If a system has infinite solutions, the graph of the system would look like....

the same line

400

A system with no solution will result in a __________________ mathematical statement

FALSE

500

What are the slopes like of a system that has no solution?

The same!

Solve by method of your choice!

100

y=-x-6

y=x-4

(-1,-5)

200

4x-3y=-5

-2x+2y=6

(4,7)

300

8x+3y=13

3x+2y=11

(-1,7)

400

12x-8=6y

6x-4=3y

Infinite solutions

500

-2x+2y=6

4x+2y=-5

(-11/6, 7/6)

Random/Fun!

100

What is the capital of Massachusetts?

Boston!

200

Who flew the first airplane?

Wilbur and Orville Wright

300

What letter doesn't appear in any American state name?

Q

400

Name the 7 continents!

Africa, Antartica, Asia, Australia, Europe, North America, South America

500

Who was the first vice president of the United States?

John Adams