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Systems Of Linear Equations Word Problems: Graphing Worksheet - Free Printable

Educational worksheet: Systems Of Linear Equations Word Problems: Graphing Worksheet. Download and print for classroom or home learning activities.

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1. Let x be the number of hours Cara works and y be the number of hours Lina works. The system is:
x + y = 8
3x + 2y = 20
Solving: From first equation, y = 8 - x. Substitute into second:
3x + 2(8 - x) = 20 → 3x + 16 - 2x = 20 → x = 4. Then y = 4.
Answer: Each girl will donate 4 hats.

2. Let x be the number of weeks. The system is:
5x + 10 = 10x
Solving: 10 = 5x → x = 2.
Answer: It will take 2 weeks.

3. Let x be the number of games played. The system is:
50 + 5x = 30 + 7x
Solving: 50 - 30 = 7x - 5x → 20 = 2x → x = 10.
Answer: They each paid the same amount after 10 games.

Parent Tip: Review the logic above to help your child master the concept of system of linear equations word problems worksheet.

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