Solving Systems Review for Quest

Solving by Substitution

100

x + y = 12

x = 5

(5, 7)

200

x = 3y+1

2x + 4y = 12

(4, 1)

300

y = 3 – x

5x + 3y = -1

(-5, 8)

400

y = 2x +1

y = −3x + 11

(2, 5)

500

2x − y = 5 

−3x + 7y = 9

(4, 3)

Solving by Graphing

100

y = 2x − 2

y = −x + 4

(2,2)

200

y =1/3x

y = −2x − 7

(-3, -1)

300

y = 2x + 3

y =6/3x − 5

No Solution

400

3y = 3x + 6

y = x + 2

Infinitely Many Solutions

500

y= -1/2x -2

y= -3/2x +2

(4, -4)

Solving by Elimination

100

x − y = 11

2x + y = 19

(10, -1)

200

4x + 8y = 20

−4x + 2y = −30

(7, -1)

300

−4x − 2y = −12

4x + 8y = −24

(6, -6)

400

8x + y = −16

−3x + y = −5

(-1, -8)

500

−4x + 9y = 9

x − 3y = −6

(9, 5)

Any Method

100

-6x + 5y = 1

6x + 4y = −10

(-1, -1)

200

5x + y = 9

10x − 7y = −18

(1, 4)

300

5x – y = -9

4x + 3y = -11

(-2, -1)

400

y = 5x − 7

−3x − 2y = −12

(2, 3)

500

x + 3y = 1

−3x − 3y = −15

(7, -2)

Miscellaneous

100

Where did Ms. Guay go to college?

Bridgewater State University

200

What day of the week is Christmas on this year?

Tuesday

300

On a standard traffic light, is the green on the top or bottom?

Bottom

400

Who is on the 100 dollar bill?

Benjamin Franklin

500

What is the largest state in the United States of America?

Alaska