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 ; y + 2x = 18

(8,2)

500

5x + 2y = 4 ; -4x + 3y = 6

(0,2)

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 ; -15 = 3x + y

(-7,6)

500

4x - y = -24 ; 3y + 5x = 4

(-4,8)

Elimination C

100

x + 4y = 10 ; 3x - 4y = 30

(10,0)

200

2x + y = 21 ; 4x - 3y = 7

(7,7)

300

x + 2y = 2 ; 2x - 3y = 4

(2,0)

400

5y - x = 25 ; 4x - 5y = -10

(5,6)

500

3x + 5y = 75 ; 10y + 2x = 110

(10,9)

Elimination D

100

-5x + 5y = 20 ; 2x - 5y = -38

(6,10)

200

x + 4y = 9 ; -2x + 3y = -18

(9,0)

300

x + y = 1 ; 4x - 5y = 4

(1,0)

400

-2x + y = -8 ; 3y + -2x = -24

(0, -8)

500

-2x + 3y = 9 ; 4x - 4y = -4

(6,7)

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)