8th Grade Systems of Equations

A

100

−4x − 2y = −12

4x + 8y = −24

(6, −6)

200

4x + 8y = 20

−4x + 2y = −30

(7, −1)

300

x − y = 11

2x + y = 19

(10, −1)

400

 −6x + 5y = 1

6x + 4y = −10

(−1, −1)

500

−2x − 9y = −25

−4x − 9y = −23

(−1, 3)

B

100

8x + y = −16

−3x + y = −5

(−1, −8)

200

−6x + 6y = 6

−6x + 3y = −12

(5, 6)

300

7x + 2y = 24

8x + 2y = 30

(6, −9)

400

5x + y = 9

10x − 7y = −18

(1, 4)

500

−4x + 9y = 9

x − 3y = −6

(9, 5)

C

100

−3x + 7y = −16

−9x + 5y = 16

(−4, −4)

200

−7x + y = −19

−2x + 3y = −19

(2, −5)

300

16x − 10y = 10 

−8x − 6y = 6

(0, −1)

400

8x + 14y = 4

−6x − 7y = −10

(4, −2)

500

−4x − 15y = −17

−x + 5y = −13

(8, −1)

D

100

−x − 7y = 14

−4x − 14y = 28

(0, −2)

200

−7x − 8y = 9

−4x + 9y = −22

(1, −2)

300

5x + 4y = −30

3x − 9y = −18

(−6, 0)

400

−4x − 2y = 14

−10x + 7y = −25

(−1, −5)

500

3x − 2y = 2

5x − 5y = 10

(−2, −4)

E

100

5x + 4y = −14 

3x + 6y = 6

(−6, 4)

200

−14 = −20y − 7x

10y + 4 = 2x

(2, 0)

300

2x + 8y = 6 

−5x − 20y = −15

Infinite number of solutions

400

3 + 2x − y = 0

−3 − 7y = 10x

(−1, 1)

500

−3x + 3y = 4 

−x + y = 3

No solution