How Many Solutions
Lets graph it
Solve for y's
100

y = 2x + 2

y = 3x + 1  

One Solution

100

What is the solution to system 

y = 3/2x + 3

y = -x - 2

(-2, 0) 

100

Solve for y 

2x + y = 10

y = 10 - 2x

or

y = -2x + 10

200

y = 1/5x + 6

y = 1/5x - 7

No solution

200
Solve the system


y = 1/3x + 2

y = -1/2x + 2 

(0,2)

200

Solve for y

4x + 2y = 10

y = 5 - 2x

or

y = -2x + 5

300

y = 2x + 5

y = 2x + 5

Infinite Solutions

300

Solve the system

y = 1/2x + 5

y = -5/2x -1 

(-2, 4) 

300

Solve for y

4y - 5x = 12

y = 3 + 5/4x

or

y= 5/4x + 3

400

y = 3x + 5

y = 3x - 8

No solution

400

Solve the system

y = 2x + 2

y = 2x + 2

Infinite solutions 

400

Solve for y

3x - 2y = 8

y = -4 + 3/2x

or

y = 3/2x - 4

500

y = 3x + 3

y = 1/3x + 3

One solution

500

solve the system

y = 1/3x - 3

y = 1/3x 

No solution 

500

Solve for y

3y + 9 = 12x  

y = 4x - 3


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