System of Equations: Sub & Elim.

LCM

100

LCM of 2 and 6

6

200

LCM of 3 and 9

9

300

LCM of 3 and 7

21

400

LCM of 6 and 5

30

500

LCM of 8 and 9

72

Substitution

100

y= 2x + 8 

y= 5x - 1

(3,14)

200

2x + 5y = 19

y = 3x - 3

(2,3)

300

x - 3y = -9 

2x + 7y = 8

(-3,2)

400

-2x + 18y = -20 

-x + 9y = -10

Infinitely Many Solutions

500

5x - 4y = 8 

y = 1/2x + 1

(4,3)

Elimination

100

2x - y = 3

3x + y = 7

(2,1)

200

5x + 3y = 12

2x - 3y = 9

(3,-1)

300

3x + 4y = 15 

2x + 3y = 11

(1,3)

400

-x + 2y = 5 

3x - 4y = -23

(-13,-4)

500

11x + 8y = -6

7x + 6y = -2 

(-2,2)

Substitution or Elimination

100

-4x + 3y = -7 

y = 5x - 17

(4,3)

200

11x + 2y = 14

y = -4x + 1

(4,-15)

300

5x - 3y = 1

x - y = -3

(-1,2)

400

2x + 3y = 5

4x + 6y = 15

No Solution

500

7x - 2y = -11

-21x + 6y = 33

Infinitely Many Solutions

LCM

100

LCM of 1 and 9

9

200

LCM of 2 and 9

18

300

LCM of 3 and 5

15

400

LCM of 9 and 10

90

500

LCM of 8 and 12

24