Section 7.4 Worksheet
Name: ______________________________
Describe the FIRST STEP you would take to solve the systems below using elimination. You DO NOT
need to solve these – simply explain your first step and WHY this would be your first step.
1. 3x – 4y = 7
5x + 8y = 10
2. 9x – 4y = 13
3x + 5y = 9
3. 9x – 5y = 14
-6x + 8y = 13
Solve the following linear systems of equations using the elimination method. Remember to line up your
columns first when needed!
4.
x + 3y = 1
-5x + 4y = -24
5. -4y = -8x - 76
5x + 2y = -16
6.
9x – 4y = 26
18x + 7y = 22
7.
8. -3x – 4y = 27
5x – 6y = -7
4x – 3y = 16
16x + 10y = 240
9. 3x = 5y - 16
2x – 3y = -8
10. Hockey Game. Two families go to a hockey game. One family purchases two adult tickets and four youth
tickets for $28. Another family purchases four adult tickets and five youth tickets for $45.50. Let x represent
the cost in dollars of one adult ticket and y represent the cost in dollars for one youth ticket.
a.
Write a linear system to represent this situation (HINT: Write an equation for each family!)
b.
Solve the linear system above – how much is each adult ticket? How much is each youth ticket?
c.
How much would it cost for two adults and 5 youths to attend the game?
Solve the linear system using the SUBSTITUTION method.
11. x + 5y = 11
8x + 8y = 24
12.
3x + 3y = 18
4x – y = 14
Solve the linear system by graphing. Be sure to check your solution (show work).
13. 5x – y = -2
y + 2x = -5
14. 6x + 2y = 8
-3x + 4y = 16