The name of a way to solve a systems of equation
What is substitution?
y = x + 4
y = 2x + 5
Hailey is organizing a field trip. The school has small buses that can seat 16 students and large buses that can seat 32 students. There are 112 students and 4 bus drivers. What equations can represent this system of equations?
What is x+y=4 and 16x+2y=112
x = 4y
2x + 3y = 22
y = 3x - 2
y = -x - 2
You have 15 nickels and dimes. The coins are worth $1.20. How many of each do you have?
What is 6 nickels and 5 dimes
y = x - 2
3x - y = 16
y = -3
x = 5
Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where x= # of $20 and y = # of $50.
x + y = 49
20x + 50y = 1430
y = 3x - 1
7x + 2y = 37
y = (1/3)x - 3
2x - y = 8
Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?
Sugar Cookies $4
Oatmeal Cookies $8
3s - 2t = 4
t = 2s - 1
y - 3x = 3
y = 3x - 2
The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve for their ages.
x + y = 55
x - y = 3
(29, 26)
t + u = 12
t = (1/3)u