Solve
Solve each system of equations by graphing.
y = -x + 3
y = 5/2x - 4
(2, 1)
Lebron and Kasey's ages add up to 54. Lebron is 2 years older than three times Kasey's age. Which system represents this situation:
A) L - K = 54 & K = 3L + 2
B) L + K = 54 & L = 3K + 2
C) L = K + 3 & L + 1 = 54
B
Is (5 , 2) the solution to the following system of equations?
3x - y = 13
x + 9y = 20
No
5 + 18 = 23
Solve by Elimination:
-3x - 4y = -7
3x + 9y = -3
(5, -2)
A food truck serves an Italian and a Mexican lunch special each day. Each Italian special is the same price. Each Mexican special is the same price. However, the price of the Italian special is different from the price of the Mexican special.
- On Saturday, the food truck collected $156, selling 8 Italian specials and 4 Mexican specials.
- On Sunday, the food truck collected $117, selling 6 Italian specials and 3 Mexican specials.
What is the cost, in dollars, of the Italian special?
$12.50
A surfboard rental shop charges customers according to the equations C = 6h + 20 where h represents the number of hours the surfboard is rented, and C represents the total cost in dollars.
Explain what the 6 represents in this situation.
Explain what the 20 represents in this situation.
The 6 represents the cost per hour the surfboard is rented.
The 20 represents the one time cost to rent the surfboard no matter how many hours it is used.
Solve by Substitution:
x + 5y = 18
y = 3x - 6
(3, 3)
The Scarpaci family and the Bwanika family went to a basketball game together. The Scarpaci family bought 2 adult tickets and 1 child ticket for a total cost of $38. The Bwanika family bought 3 adult tickets and 2 child tickets for a total cost of $61.
What is the price of each type of ticket (adult and child) at this basketball game?
2x + y = 38
3x + 2y = 61
Adult = $15
Child = $8
A surfboard rental shop charges customers according to the equations C = 6h + 20 where h represents the number of hours the surfboard is rented, and C represents the total cost in dollars.
If Westley wanted to rent the surfboard for 10 hours, how much would it cost?
$80
Solve using EACH method.
y = 5x - 4
y - 10 = -2x
Graphing, Substitution, & Elimination
(2, 6)
The Scarpaci family and the Bwanika family went to a basketball game together. The Scarpaci family bought 2 adult tickets and 1 child ticket for a total cost of $38. The Bwanika family bought 3 adult tickets and 2 child tickets for a total cost of $61.
a) Write an equation that represents the cost of going to the basketball game for the Scarpaci family.
b) Write an equation that represents the cost of going to the basketball game for the Bwanika family.
a) 2x + y = 38
b) 3x + 2y = 61
Given each system of equations, explain the number of solutions it has and choose the relationship it has.
a) y = 6x + 4 and y = 5x - 1
# of Solutions _______________
Parallel Intersecting Same Line
b) y = 2x + 1 and y = 2x + 9
# of Solutions _______________
Parallel Intersecting Same Line
c) y = -5x + 1 and y = -5x + 1
# of Solutions _______________
Parallel Intersecting Same Line
A) 1 Solution & Intersecting
B) No Solution & Parallel
C) Infinite Solutions & Same Line