3.1 Review Worksheet (continued)
Use elimination to solve each system of equations. 18. 19. x y
20.
21.
+ = − + = x y x y 3
7 3 2 11
− =− x y 12 3 15 8 8 58 + =− x y
− = − = x y x y 4 9 26 4 5 2
− =− − + = x y 6 3 6 5 7 41
Classify each system and determine the number of solutions. 22. 4 23. 24.
3 4
25. − + = − =− x y x y 4 8 6 8
− = − = 10 2 22 5 25 65 x y y x
− =− = + 24 3 12 72 y x x y
− = − = 4 3 32 8 6 64 y x y x
26. An office is printing 1200 copies of a document using two printers. During the process, printer A gets a paper jam and prints only half as many copies as printer B. Write and solve a system of equations to determine the number of copies each printer will produce.
3.1.3 Solving Systems of Linear Inequalities Graph each system of inequalities. 27. − > < x y y x 5 0 28. ≥ − ≥ + y x y x 3 2 3 3 8 29. x y 2 + > − + ≤ x y 5
30.
y x y 4
> + ≥
2
4 8
31. A musician is releasing a new CD. The record company will manufacture the basic CD plus a special promotional version to distribute to radio stations. No more than 10,000 CDs will be made, and the number of promotional CDs will be at most 20% of the number of basic CDs. Write and graph a system of inequalities that describes the possible number of each type of CD.
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