Substitution
Elimination
Linear System Word Problems
100
(1,7)
Solve the Linear System using substitution: y=2x+5 y=6x+1
100
(2,7)
Solve the system using elimination: 5x-6y=-32 3x+6y=48
100
Sweatshirt: $16.00 Sweatpants: $18.75
During a sale at the local department store, you buy three sweatshirts and two pairs of sweatpants for $85.50. Later you return to the same store and buy three more sweatshirts and four more pairs of sweatpants for $123. What is the sale price of each sweatshirt and each pair of sweatpants?
200
(6,-2)
Solve the linear system using substitution: 3x-6y=30 y=-6x+34
200
(4,-6)
Solve each system using elimination: 2x+5y=-22 10x+3y=22
200
Tuna: $2.35 Turkey: $2.65
You are getting ready to move and have asked some friends to help. For lunch, you buy the following sandwiches at the local deli for $30: six tuna sandwiches and six turkey sandwiches. Later at night, everyone is hungry again and you buy four tuna sandwiches and eight turkey sandwiches for $30.60. What is the price of each sandwich?
300
(-1,1)
Solve each linear system by using subsitution: 3x-y=4 x+5y=-4
300
(5, -17)
Solve the system using elimination: 2x-3y=61 2x+y=-7
300
Basic Plan Charge: $32.50
You have a cable plan that costs $39 a month for a basic plan plus one movie channel. Your friend has the same basic plan plus two movie channels for $45.50. What is the basic charge that you both pay?
400
d= 11.5 c=7.5
Solve the linear system using subsitution: c=3d-27 4d+10c=120
400
(1,5)
Solve the system using elimination: 4x+2y=14 7x-3y=-18
400
Adults: 140 Children: 72
At an all-you-can-eat barbeque fundraiser that you are sponsoring, adults pay $6 for a dinner and children pay $4 for a dinner. 212 people attend and you raise $1128. What is the total number of adults and the total number of children attending?
500
(20,4)
There are 24 Questions on a test. Each question is worth either 4 points or 5 points. The total is 100 points. How many questions of each type are on the test?
500
(-1,-3)
Solve the system using elimination: 3x+2y=-9 -10x+5y=-5
500
q= 5 d=7
Suppose you have just enough money, in coins, to pay for a loaf of bread priced at $1.95. You have 12 coins, all quarters and dimes. Let q equal the number of quarters and d equal the number of dimes. How many quaters and dimes do you have?