Solving Systems of Equations with Elimination

Elimination A

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)

Elimination B

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)

Elimination C

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

- x + 5y = 35 

3x + 5y = 75

(10,9)

Elimination D

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)

Substitution

100

y=x + 4 

y + x = -2

(-3,1)

200

-3x = 4y - 47 

x = -5y + 34

(9,5)

300

y = 3x - 6 

2x = 4 - 2y

(2,0)

400

x = 2y - 14 

-2x + 5y = 37

(4,9)

500

5x = 4y + 20 

x = -2y + 18

(8,5)