How many solutions?
Graph the system of equations in Desmos to determine if it has one solution, no solution or infinitely many:
-4x + 2y = 8
y = 2x + 4
Infinitely Many Solutions
Find the the solution to the system of equations:
y = -3x
4x + y = 2
Solution: (2, -6)
x=2
y=-6
At a movie theater, 2 medium drinks and a large popcorn costs $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90.
Write a system of equations that could be used to find x, the cost of a medium drink, and y, the cost of a large popcorn.
2x + y = 13.85
3x + 2y = 23.50
Graph the system of equations in Desmos to determine if it has one solution, no solution or infinitely many:
4x - 6y = 12
2x + 2y = 6
One Solution: (3, 0)
The solution to the system:
-5x + 7y = 1
5x - 6y = 2
What is (4, 3)?
At the Holiday Valley Ski Resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, how many skis and snowboards were rented?
18 skis and 10 snowboards were rented.
Graph the system of equations in Desmos to determine if it has one solution, no solution or infinitely many::
4x + 6y = -12
2x + 3y = 6
No Solution
Solve for y:
-4x + 9y= 9
x - 3y = -6
y = 5
The total value of quarters and dimes in a coin bank is $14.05. If there are 100 coins in the bank, how many of the coins are quarters? How many are Dimes
27 quarters and 73 dimes