Section 7.3 Worksheet
Name: ______________________________
Solve the linear system by using elimination.
1. x + 5y = 28
-x – 2y = -13
2. 7x – 4y = -30
3x + 4y = 10
3. 6x + y = 39
-2x + y = -17
4. 3x = y – 20
-7x – y = 40
5. 2x – 6y = -10
4x = 10 + 6y
6. x – 3y = 6
-2x = 3y + 33
7.
Floor Sander Rental A rental company charges a flat fee of a dollars for a floor sander rental plus b dollars
per hour of the rental. One customer rents a floor sander for 4 hours and pays $63. Another customer rents
a floor sander for 6 hours and pays $87.
a.
Find the flat fee (a) and the cost per hour (b) for the rental.
b.
How much would it cost someone to rent a sander for 11 hours?
Solve the linear system by substitution.
8.
-5x – 8y = 17
2x – 7y = -17
9.
-2x – y = -9
5x – 2y = 18
10. Food Co-Op A food cooperative is a business that usually offers special prices on locally grown food
and produce. Some cooperatives are clubs and others are retail stores.
A club-based co-op offers seasonal produce for $15 per week after a $20 club fee. A retail-based co-op offers
their produce for $17.50 per week.
Find the number of weeks at which the total cost of weekly produce will be the same.
Solve the linear system by graphing. Be sure to check your solution (show work).
11. 3x + 6y = -6
2x – 8y = 32
𝑦
4
12. –x + 3 = − 3
-2x – 4y = -12
13.
5
𝑥
2
+ 5y = -10
-9x – 6y = -12