Systems Of Equations

Graphing

100

y=-5/3x+3

y=1/3x-3

What is 3,-2

200

y=4x+3

y=-x-2

What is -1,-1

300

y=-1/2x-1

y=1/4x-4

What is 4,-3

400

x - 3y = -15

x = -3

What is (-3,4)

500

x = 4y

x + 2y = 12

What is (8,2)

Elimination

100

−4x − 2y = −12

4x + 8y = −24

What is (6,-6)

200

−6x + 5y = 1

6x + 4y = −10

What is (-1,-1)

300

4x + 8y = 20

−4x + 2y = −30

What is (7,-1)

400

-5x+y=-2

-5x+6y=-12

What is (0,-2)

500

4y = 2x - 8

5x - 4y = 20

What is (4,0)

Substitution

100

y = 5

−2x − 3y = −7

What is (-4,5)

200

−2x − 3y = 39

y = −5x

What is (3,-15)

300

2x + y = 20

6x − 5y = 12

What is (7,6)

400

−7x − 2y = −13

x − 2y = 11

What is (3,-4)

500

−4x + y = 6

−5x − y = 21

What is (-3,-6)

Best Strategy

100

y=-2x+2

y=-2x-2

What is Graphing

200

8x+y=-16

-3x+y=-5

What is Elimination

300

x=4x+5

y=7x+6(7x+6)

What is Subsitution

400

y=-1/2x-2

y=-3/2x+2

What is Graphing

500

7x+2y=24

8x+2y=30

What is Elimination

# of solutions

100

The number of solutions if the graph is one line on top of the other line?

What is infinite solutions

200

The number of solutions when the lines are parallel?

What is no solutions

300

The lines intersect at one spot.

What is there is one solution

400

The equations have the same slope but different y intercepts.

What is there is no solution.

500

The equations have the same slope and the same y intercept

What is there are infinite solutions