### 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. π₯ + 3π¦ = 1
β3π₯ β π¦ = β15
1. 2. β5π₯ + 4π¦ = β24
8π₯ + 4π¦ = 48
8π₯ β 4π¦ = β76
β3π₯ + 10π¦ = 23
3. 4. 5π₯ + 2π¦ = β16
5π₯ + 2π¦ = 55
20π₯ + 10π¦ = 100
4π₯ β 3π¦ = 16
5. 6. 16π₯ + 10π¦ = 240
β5π₯ + 4π¦ = 53
7. β3π₯ β 4π¦ = 27
5π₯ β 6π¦ = β7
Solve each system using substitution 4π₯ β 2π¦ = β4
9. 7π₯ β 5π¦ = β19
Solve each system by graphing. π¦ = 2π₯ β 3
11. βπ₯ + 3π¦ = β24
8. 2π₯ + 7π¦ = 2
5π₯ β 2π¦ = 83
10. 8π₯ + 8π¦ = 24
π₯ + 5π¦ = 11
12. 2π₯ β π¦ = 5
π₯ + 3π¦ = 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 (π) tickets and four youth (π¦) 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 ```