Download Algebra I - Mrs. Rainey`s Algebra 2

Algebra 2
Name ___________________________
Period ___________________
Date ____________________________
Homework: Substitution and Elimination
Solve the following systems of equations using substitution or elimination. Show all of your
work.
1)
y = 2x
2x + 5y = -12
Solution: (_____, _____)
2)
x–y = 2
x + y = 12
Solution: (_____, _____)
3)
x = 1 – 4y
Solution: (_____, _____)
2x – 3y = -9
4)
x – 5y = -9
–x + y = 5
Solution: (_____, _____)
5)
y = -5/2x + 4
Solution: (_____, _____)
5x + 2y = 8
6)
y = 3x - 8
Solution: (_____, _____)
y=4–x
7)
2x + 7y = 3
Solution: (_____, _____)
x + 4y = 1
Set up the following systems:
1. 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.
Equation 1:_______________
Equation 2:_______________
2. The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot
summer day, the shop sold 8 more sundaes than banana splits and made $156.
Equation 1:_______________
Equation 2:_______________