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Solving Systems (Graphing Style)
Solving Systems (Substitution Style)
Solving Systems (Elimination Style)
Systems word problems
100
Solve the system. 


y = x + 2

y = 3x

x = 1, y = 3
100
Solve. 

y = -x + 8

-x + 3y = 0

x = 6, y =2
100
x + y = 12

x - y = 2

x = 7, y = 5
100
The total cost of membership in a discount club includes a monthly charge and a one-time joining fee. 6 months would cost $80, and 1 year would cost $110. Find the monthly charge and the one-time fee. 
$5 per month, $50 one time fee
200
Solve the system. 


y = x + 4

y = -2x + 2

x = -2, y = 2
200
Solve. 

2x - 2y = 2

y = -5x + 14

x = 2.5, y = 1.5
200
 3x + 4y = 9

-3x -  2y = -3

x = -1, y = 3
200
An online music club charges a monthly fee of $20 plus $0.80 per song downloaded. A different one charges a monthly fee of $21 plus $0.60 per song downloaded. For how many songs would the monthly charge be equal? 
5 songs
300
Solve the system. 


y = 2x - 1

y = -x + 5

x = 2, y = 3
300
Solve. 


-x + y = 4

-2x - y = 2

x = -2, y = 2
300
  -x + y = 4

 -2x + y = 2

x = 2, y = 6
300
A craft store has two T-Shirt crafting kits for sale. The first kit contains 10 TShirts and 5 bottles of fabric paint for $63.75. the second kit has 6 TShirts and 2 bottles of fabric paint for $36.50. What is the cost of 1 TShirt and 1 bottle of fabric paint? 
TShirt : $5.50, paint : $1.75
400
Solve the system. 


x - y = 1

5x - 4y = 0

x = -4, y = -5
400
2y - x = 3

y = 2x - 6

x = 5, y = 4
400
  6x + 2y = 10

 -2x + 2y = 2

x = 1, y = 2
400
A gardener is going to plant 100 plants total. She wants to have 20 more tomato plants than bean plants. How many bean plants and and tomato plants should she plant? 
40 bean, 60 tomato. 
500
Solve. 


y = x + 4

y = 4x + 1

x = 1, y = 5
500
Solve. 


x - 2y =2

3x + 4y = 3

x = 1.4, y = -0.3
500
4x - 2y = 7

3x + 6y = 9

x = 2, y = 0.5
500
Tammy counts 19 bills in her wallet, all of them are $5 and $10 bills. She has $120 all together. How many of each bill does she have? 
14 $5 bills, 5 $10 bills.