Solving by Graphing
What is the solution to the system of equations?
y = x + 4
y = 2x + 5
What is, one solution (-1, 3)
The solution to the system of equations:
x + y = -6
x - y = -10
What is (-8, 2)?
x = 4y
2x + 3y = 22
A youth group and their leaders visited Mammoth Cave. Two adults and 5 students in one van paid $77 for the Grand Avenue Tour of the cave. Two adults and 7 students in a second van paid $95 for the same tour.
Write a system of equations.
2x + 5y = 77
2x + 7y = 95
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
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.
Write and solve a system of equations.
65 Hats and 30 shirts
The solution to the system of equations:
y =2x - 8
-4x + 2y = -16
What is infinite solutions
The solution to the system:
-6x - 9y = -18
3x + 5y = 15
What is (-15, 12)?
y = 3x - 1
7x + 2y = 37
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Write and solve a system of equations.
2 toppings will be $8.60
y - 3x = 3
y = 3x - 2
The solution to the system:
-5x + 3y = 2
-5x - 5y = -30
What is (2, 4)
The solution to the system
x + y = 12
3x = y
What is (3, 9)?
Golden Corral charges $11 for a buffet plus $1 for each drink. Frisch's charges $9 for a buffet plus $2 for each drink. Write a system of equations.
2 drinks with the buffet will cost $13