y = x + 4
y = 2x + 5
The solution to the system of equations:
x + y = -6
x - y = -10
What is (-8, 2)?
x = 4y
2x + 3y = 22
Jenny has 10 coins in her pocket. All coins are either quarters or dimes. The total value of the coins is $1.75. How many of each coin does she have?
What are 5 quarters and 5 dimes?
y = 3x - 2
y = -x - 2
The solution to the system:
8x + 5y = 9
2x - 5y = -4
What is (0.5, 1)?
y = x - 2
3x - y = 16
y = -3
x = 5
2x + 3y = 6
3x + 5y = 15
y = 3x - 1
7x + 2y = 37
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.00 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. Set up but do not solve a system.
Let x = tickets bought before the game
Let y = tickets bought at the game
x + y = 600
5x + 7.50y = 3500
The third method to solving a system of equations in this list: graphing, elimination, ...
What is substitution?
y = (1/3)x - 3
2x - y = 8
The solution to the system
2x - 4y = 12
-8x + 16y = -48
What is infinitely many solutions?
The solution to the system
3x - 2y = 4
y = 2x - 1
What is (-2, -5)
Emily is going ice skating. Skating rink A charges $5 for a skate rental, and $2 per hour of skating. Skating rink B charges $3 for a skate rental, and $4 per hour of skating. Set up a system to represent this scenario. Do not solve.
Rink A: y = 2x + 5
Rink B: y = 4x + 3
y = mx + b is formally known as this
What is slope-intercept form
y - 3x = 3
y = 3x - 2
The solution to the system:
4x + 3y = 120
6x - 9y = 72
What is (24, 8)
The solution to the system
x + y = 12
x = (1/3)y
What is (3, 9)?
Jen is making smoothies. She buys some ingredients at Wegmans and some at Aldi. At Wegmans, she buys three bananas and four cases of strawberries for $13. At Aldi, she buys two bananas and six cases of strawberries for $20. If the stores charge the same amount for fruit, set up but do not solve a system of equations to represent this scenario.
Let x = bananas
Let y = strawberries
3x + 4y = 13
2x + 6y = 20