# Solving Systems by Elimination

```Algebra 1-1 DA
Name _____________________________________
5.3 Solving Systems Using Elimination Homework
Solve using elimination.
1. x + y = 11
x–y=7
2. x + y = 1
3x + y = 9
3. 2x + 3y = 14
2x – 4y = -14
4. 4x – y = -12
3x + 2y = 2
5. 5x – 3y = -5
-x + 2y = 8
6. 3x – 6y = -15
9x + 7y = -20
7. -2x + 5y = 17
3x – 4y = -15
8. 4x – 7y = -10
3x + 4y = 11
9. 2x – 7y = -9
-5x + 3y = 13
10. 9x + 4y = 3
4x – 5y = -19
Determine if the ordered pair is a solution to the system of equations. Show work.
11. x – 2y = 0
12. 4x + 4y = -4
3x – y = 10
-3x – 2y = 5
(2, 1)
(-3, 2)
13. 5x – 2y = -2
-3x – y = 10
(-3, -1)
14. 4x + 3y = -5
5x + 2y = -8
(-2, 1)
Set up the system of equations for each situation. Do not solve.
15. Molly’s Custom Kitchen Supplies sells handmade forks and spoons. The store sells forks for \$5.50 and spoons for
\$3.50. Last summer Molly’s Custom Kitchen Supplies sold 61 handmade spoons and fork for \$289.50. How many forks
and how many spoons did they sell last summer? Write and solve the linear system.
16. The admission fee at a small fair is \$2.00 for children and \$5.50 for adults. On a certain day, 1700 people enter the fair
and \$5850 is collected. How many children and how many adults attended?
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