Solving Systems of Equations with Elimination

Addition

100

2x + 3y = -12 

-4x - 3y = 30

(-9,2)

200

3x + 4y = 16 

-5x - 4y = -16

(0,4)

300

-x + y = -1 

x + y = -3

(-1,-2)

400

-x - y = -10

 2x + y = 18

(8,2)

500

-5x + 5y = 20 

-5y + 2x = -38

(6,10)

Negatives

100

-3x + 5y = -18 

4x + 5y = -11

(1,-3)

200

-3x + 5y = -8 

x + 5y = -24

(-4,-4)

300

5x + 4y = 20 

5x + y = 20

(4,0)

400

3x + 5y = 9 

3x + y = -15

(-7,6)

500

-2x + y = -8 

3y + -2x = -24

(0,-8)

Multiply

100

-2x + 3y = 9 

4x - 4y = -4

(6,7)

200

2x + y = 21 

4x - 3y = 7

(7,7)

300

x + 2y = 2 

2x - 3y = 4

(2,0)

400

x + 4y = 10 

3x - 4y = 30

(10,0)

500

5y - x = 35 

3x + 5y = 75

(10,9)

Another One!

100

5x + 2y = 4 

-4x + 3y = 6

(0,2)

200

x + 4y = 9 

-2x + 3y = -18

(9,0)

300

x + y = 1 

4x - 5y = 4

(1,0)

400

4x - y = -24 

5x + 3y = 4

(-4, 8)

500

5y - x = 25 

4x - 5y = -10

(5,6)

Words

100

What requirements are necessary to eliminate?

Same Value

Different sign

200

What are the types of solutions you can have with systems of equations?

Infinite, None, One

300

Describe how infinite solutions look when solving with ELIMINATION.

 0  =  0

An equation that is true appears.

400

Describe how no solutions look when solving with Elimination.

" 0 = # "

An equation that is false occurs.

500

i walked in a phone store and got 2 iPhone and 1 android for $550 and my mom got 1 iPhone and 1 android for $350. How much does a iPhone cost and how much does a android cost?

($200 for an Iphone ,$150 for an Android)