Solving Systems of Equations with Elimination & Substitution

Elimination

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

 5y  -  5x = 20 

-5y + 2x = -38

(6,10)

Elimination

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

 y  -  2x  = -8 

3y + -2x = -24

(0,-8)

Elimination

100

10x - 4y = 20

2x + 4y = 4

(2,0)

200

4x - 6y = 28 

9x + 6y = -15 

(1,-4)

300

-x + 2y = 3

2x + 2y = 12

(3,3)

400

x + 4y = 10 

3x - 4y = 30

(10,0)

500

5y - x = 35 

5y + 3x = 75

(10,9)

Substitution

100

y = -3x + 9 

y = 2x - 11 

(4,-3)

200

y = -5x - 12 

y = -8x - 24 

(-4,8) 

300

-x + 4y = 21 

y = -8x - 3

(-1,5)

400

-x + 5y = 1 

6x + y = -6

(-1,0)

500

-x + y = -1

-8x + 2y = -8

(1,0)

Substitution

100

y = 2x

y = 6x + 4

(-1,-2) 

200

y = 6x - 9

3x - 3y = -3

(2,3)

300

y = x + 2 

-6x + 4y = 20

(-6,-4)

400

x - y = 8 

2x + 7y = -11

(5,-3) 

500

-6x + 5y = -12

x + 2y = -15

(-3,-6)