Systems of Equations

Graphing

100

Solve using graphing
 y=3x+4
 y=2x+3

(-1,1)

200

Solve using graphing
 y=-1
 y=-x-2

(-1,-1)

300

Solve using graphing
2x-y=-4
3x-y=-2

(2,8)

400

Solve using graphing
 y= -x+3
y=-x-3

No solution

500

Solve using graphing
 2x-y=5
 4x-2y=10

Infinite Solutions

Substitution

100

Solve using substitution
 2x=y+3
 5x+3y=2

(1,-1)

200

 Solve using substitution
 -3x+3y=4

-x+y=3

No solution

300

Solve using substitution
 -2x+6y=6
-7x+8y=-5

(3,2)

400

Solve using substitution
 y=1/2
 2x+4y=14

(6,1/2)

500

Solve using substitution
0=2y+4
 2x+4y=10

(9,-2)

Elimination

100

Solve using elimination
6x+2y=8
12x+4y=16

Infinite solutions

200

Solve using elimination
 -6x+5y=1
6x+4y=-10

(-1,-1)

300

Solve using elimination
 4x+3y=10
4x+2y=4

(-2,6)

400

Solve using elimination
-6x+6y=6
-6x+3y=-12

(5,6)

500

Solve using elimination
 1/2x+3y=10
 1/2x+2y=6

(-4,4)

Elimination

100

Solve using elimination
-3x+7y=-16
-9x+5y=16

(-4,-4)

200

Solve using elimination
5x+y=9
10x-7y=-18

(1,4)

300

Solve using elimination
 -2x-4y=16
-4x+6y=18

(-6,-1)

400

Solve using elimination
 -14=-20y-7x
10y+4=2x

(2,0)

500

Solve using elimination
 3+2x-y=0
-3-7y=10x

(-1,1)

Best Method

100

Determine best method
2x+6y=-8
x-3y=8

Substitution

200

Determine the best method

3x+5y=30

-3x+3y=26

Elimination

300

Determine the best method
y=2x+5
y=3x+7

Graphing (substitution could also work but graphing is easier)

400

Determine the best method
-6x+5y=1
6x+4y=-10

Elimination

500

Determine the best method
2x+3y=-11
-8x-5y=9

Elimination