Worksheet Linear System of Equations
Algebra 2 Unit 1: Solving Systems of Equations
Worksheet Linear System of Equations Name ______________
Describe the type of system of equations each system is. How do you know it is?
1. y = -2x + 1 2x + y = -3
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2. x + 2y = 10 2x + 4y = 20
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3. 2x + y = 2 3x + 5y = 8
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4. y = 3x + 4 x = 4
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5. 3x + 2y = 12 2x + 4y = 8
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Is (-1, 5) a solution of each solution?
6. x + y = 4 x = -1 _______________
7. y = -x + 4 y = -0.2x _______________
8. y = 5 x = y – 6 _______________
9. 2x – y = -7 y = x + 6 _______________
Which method would you use to solve the system of linear equations? Explain why.
10. y = 4x – 8 y = 2x + 10
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11. y = x – 2 2x + 2y = 4
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12. 3x – 6y = 30 6x + y = 34
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13. y = 3 2x + y = -15
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14. 5x + 4y = 5 y = 5x
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15. 4x + y = -2 2x + 3y = -1
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Solve the systems of linear equations by any method if there is a solution.
16. y = -x + 4 y = 2x + 6 ____________________________________
17. 10x + 8y = 2 5x + 4y = 1 ____________________________________
18. 2x + 18y = -9 4x + 18y = -27 ____________________________________
19. y = x + 2 2x + y = 3 ____________________________________
20. 2x + 4y = -12 x + 2y = 6 ____________________________________
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