How many solutions?
x - y = 10
-x + y = -10
Infinitely Many Solutions
The quadrant in which the solution to the following system lies:
y = x + 4
y = 2x + 5
Quadrant II
The solution to the system:
x = 4y
2x + 3y = 22
(8,2)
The solution to the system of equations:
r + s = -6
r - s = -10
(-8,2)
The sum of two numbers is 104. Their difference is 68. What are the numbers?
86 and 18
How many solutions will this system have?
x + 5y = 0
25y = -5x
Infinitely Many Solutions
The solution to the system of equations:
y = 3x - 2
y = -x - 2
(0, -2)
The solution to the system
y = −2
4x − 3y = 18
(3,-2)
The solution to the system:
7x + 2y = 24
8x + 2y = 30
(6, -9)
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
$30
Does this system have one solution, no solution, or an infinite number of solutions?
3x + 2y = 7
27x + 18y = 5
No Solution
The solution to the system of equations
y = (1/3)x - 3
y = 2x - 8
(3, -2)
The solution to the system
3s - 2t = 4
t = 2s - 1
(-2,-5)
The solution to the system
x − y = 11
2x + y = 19
(10,-1)
Leslie joins a fitenss club that has a membership fee of $20 plus $15 per month. Rashad's club has a fee of $40 and charges $10 per month. Write a systems of equations to represent this situation. DO NOT SOLVE.
y=15x+20
y=10x+40
How many solutions are there for this system of equations?
y = 9x + 1
y = 7x + 1
Exactly One Solution
The solution to the system of equations:
y = -3
x = 5
(5,-3)
The solution to the system
y = 3x - 1
7x + 2y = 37
(3,8)
The solution to the system:
2x + 3y = 6
3x + 5y = 15
(-15,12)
12 apples & 8 guavas total cost is $76. 8 apples & 12 guavas cost is $64. What is the cost of each apple & guava?
(5 apples and 2 guavas)
How many solutions are there for this system of equations?
-c + 10d = 0
-20d + 2c = 3
No Solutions
The solution to the system of equations:
y - 3x = 3
y = 3x - 2
No Solution
The solution to the system
2x − 3y = −1
y = x − 1
(4.3)
The solution to the system
2a - 4b = 12
-8a + 16b = -48
Infinite Many Solutions
Kristin's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 2 senior citizen tickets and 5 child tickets for a total of $54. The school took in $122 on the second day by selling 6 senior citizen tickets and 10 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
senior citizen ticket: $7, child ticket: $8