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Systems By Elimination

100

2x + 2y =  8

4x - 2y = 4

(2,2)

200

3x + 4y = 16 

 x - 4y = 0

(4,1)

300

-x + y = -1 

x + y = -3

(-1,-2)

Systems By Substitution

100

y = 2x + 3

4x + 2y = -2

(-1,1)

200

y= 2x + 1

2x + 3y = 19

(2,5)

300

y=2x+4

2x +2y = 32

(4,12)

Equations

100

5(2x+4) = 8x+40

x=10

200

3(x+3) + 2x = 3x + 19

x=5

300

2(x + 4) + 7x = 4x + 12

x=

4/5

Number of Solutions

100

3(x+4)=3x+12

Infinite Solutions

200

2(x+5) = 2x +8

No Solution

300

5(x+3)=3x+15

x=0

One Solution