Solving by Graphing
What is the solution to the system:
y = 3/2x + 1
y = -1/2x + 5
(2, 4)
The solution to the system of equations:
8x - y = -25
-8x + 6y = -10
(-4, -7)
y = 3x - 1
7x + 2y = 37
Write a system of equations for the following situation:
The school is selling tickets to the musical. On the first day, the school sold 13 student tickets and 1 adult ticket for a total of $125. The school took in $198 on the second day by selling 6 student tickets and 2 adult tickets.
13x+y=125
6x+2y=198
The solution to the system of equations:
y = 3x - 2
y = -x - 2
(0, -2)
The solution to the system of equations:
3x - 7y = 16
-9x + 2y = -29
(3, -1)
x = 4y
2x + 3y = 22
Kayky and Miguel are planting bushes and trees. Kayky spend $66 on 5 bushes and 4 trees. Miguel spent $75 on 5 bushes and 5 trees. Find the cost of one bush and one tree.
$6 for one bush and $9 for one tree
The solution to the system of equations:
y =3x+ 3
y = 3x - 2
No solution
The solution to the system:
2x + 3y = 6
3x + 5y = 15
What is (-15, 12)?
y = x - 2
3x - y = 16
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 3 shirts and 2 hats for $220. What was the cost of one shirt?
What is $30?
The solution to the system of equations:
y =-2/3x+ 3
y = -2/3x - 2
Infinite solutions
The solution to the system of equations:
x + y = -6
x - y = -10
(-8, 2)
3s - 2t = 4
t = 2s - 1
Write a system of equations for the following situation:
A nature center charges $35.25 for a yearly membership and $6.25 for a single admission. Last week it sold a combined total of 50 yearly memberships and single admissions for $660.50. Write and solve a system of equations to find how many memberships and how many single admissions were sold.
35.25x+6.25y=660.50
x+y=50
The solution to the system of equations:
y = -3
x = 5
(5, -3)
The solution to the system
2a - 4b = 12
-8a + 16b = -48
Infinitely many solutions
The solution to the system:
y = 2x - 8
y = 5x - 23
(5, 2)
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.
What is 400 advanced tickets, 200 game-day tickets?