`Algebra I Name____________________________________ ALT 4: Systems of Equations Assignment 4.5: More Solving Systems using Elimination Solve each system using elimination. π₯ + 3π¦ = 1 β3π₯ β π¦ = β15 1. 2. β5π₯ + 4π¦ = β24 8π₯ + 4π¦ = 48 8π₯ β 4π¦ = β76 β3π₯ + 10π¦ = 23 3. 4. 5π₯ + 2π¦ = β16 5π₯ + 2π¦ = 55 20π₯ + 10π¦ = 100 4π₯ β 3π¦ = 16 5. 6. 16π₯ + 10π¦ = 240 β5π₯ + 4π¦ = 53 7. β3π₯ β 4π¦ = 27 5π₯ β 6π¦ = β7 Solve each system using substitution 4π₯ β 2π¦ = β4 9. 7π₯ β 5π¦ = β19 Solve each system by graphing. π¦ = 2π₯ β 3 11. βπ₯ + 3π¦ = β24 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

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