### Solving Systems using Elimination

````Algebra I Name____________________________________ ALT 4: Systems of Equations Assignment 4.5: More Solving Systems using Elimination Solve each system using elimination. 𝑥 + 3𝑦 = 1
−3𝑥 − 𝑦 = −15
1. 2. −5𝑥 + 4𝑦 = −24
8𝑥 + 4𝑦 = 48
8𝑥 − 4𝑦 = −76
−3𝑥 + 10𝑦 = 23
3. 4. 5𝑥 + 2𝑦 = −16
5𝑥 + 2𝑦 = 55
20𝑥 + 10𝑦 = 100
4𝑥 − 3𝑦 = 16
5. 6. 16𝑥 + 10𝑦 = 240
−5𝑥 + 4𝑦 = 53
7. −3𝑥 − 4𝑦 = 27
5𝑥 − 6𝑦 = −7
Solve each system using substitution 4𝑥 − 2𝑦 = −4
9. 7𝑥 − 5𝑦 = −19
Solve each system by graphing. 𝑦 = 2𝑥 − 3
11. −𝑥 + 3𝑦 = −24
8. 2𝑥 + 7𝑦 = 2
5𝑥 − 2𝑦 = 83
10. 8𝑥 + 8𝑦 = 24
𝑥 + 5𝑦 = 11
12. 2𝑥 − 𝑦 = 5
𝑥 + 3𝑦 = 6
Write a system of equations and then solve it. You can use substitution or elimination to solve. 13. Two families are going to hockey. One family purchased two adult (𝑎) tickets and four youth (𝑦) tickets for \$28. Another family purchased four adult tickets and five youth tickets for \$45.50. Equations Solution 14. There are fifteen workers employed on a highway project, some earn \$180 per day and some earn \$155 per day. The daily payroll is \$2400. Equations Solution 15. Kendra is considering enrolling in acting school. One school requires a registration fee of \$75 and charges \$18 per class. Another school requires a registration fee of \$40 and charges \$22 per class. Equations Solution ```