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Solving Systems of Equations Algebraically Practice Problems

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Updated on Aug 24, 2011

To review these concepts, go to Solving Systems of Equations Algebraically Study Guide.

Practice

Solve the systems of equations using the elimination method.

  1. 3x + 4 y = 8

    –3x + y = 12

  2. 4x – 2y = –5

    x + 2y = 2

  3. –5x + 2y = 10

    5x – 3y = –10

  4. 4x + 2y = 12

    –4x + y = 3

  5. 2x – 3y = 9

    x + 3y = 0

  6. 2xy = 2

    –2x + 4y = –5

  7. x + y = 4

    2xy = –1

  8. 3x + 4y = 17

    x + 2y = 1

  9. 7x + 3y = 11

    2x + y = 3

  10. 0.5x + 5y = 28

    3xy = 13

  11. 3(x + y) = 18

    5x + y = –2

  12. Solving Systems of Equations Algebraically

    2xy = 17

  13. 5x + 8y = 25

    3x – 15 =y

  14. 6y + 3x = 30

    2y + 6x = 0

  15. 3x = 5 – 7y

    2y =x – 6

  16. 3x + y = 20

    Solving Systems of Equations Algebraically

  17. 2x + 7y = 45

    3x + 4y = 22

  18. 3x – 5y = –21

    2(2yx) = 16

Solve the systems of equations using the elimination method.

  1. 2x + 4y = 10

    –3x + 3y = –6

  2. –4x – 5y = –12

    8x – 3y = –28

  3. 7x – 7y = –7

    21x – 21y = –21

  4. 5x – 5y = 5

  5. 25x – 25y = 25

  6. 8x – 4y = 16

    4x + 5y = 22

  7. 5x – 3y = 31

    2x + 5y = 0

  8. 3x – 4y = 6

    –5x + 6y = –8

  9. 6x – 2y = –6  

    –5x + 5y = 5

  10. –5x + 2y = 10

    3x + 6y = 66

  11. 2x + 2 = 3yx – 4

    5x + 2y + 1 = 5

  12. x = 3y + 6

    3x = 6y – 15

  13. 3x + 2y = x – 6

    3(x + 2y) = 3

Solve the systems of equations using the substitution method.

  1. x = 2y  

    4x + y = 12

  2. y = 2x

    3x + 6y = 30

  3. y = 4x – 1

    6x – 2y = 28

  4. y = 2x + 1

    3x + 2y = 9

  5. x = 2y + 1

    3xy = 13

  6. y = 3x + 2

    2x – 3y = 8

  7. y = 5x

    4x + 5y = 87

  8. x + y = 3

    3x + 101 = 7y

  9. 5x + y = 3.6  

    y + 21x = 8.4

  10. 8xy = 0  

    10x + y = 27

  11. y + 3x = 0  

    y – 3x = 24

  12. 2x + y = 2 – 5y  

    xy = 5

  13. x + 6y = 11  

    x – 3 = 2y

  14. 4y + 31 = 3x  

    y + 10 = 3x

Mixed Practice

Solve the systems of equations using any method.

  1. x + 2y = 10  

    2x – 2y = –4

  2. y = –6x  

    2xy = 16

  3. 4x + 2y = 18  

    3xy = 1

  4. x = 5y – 2  

    2xy = 14

  5. 3x + 7y = 4  

    6x + 2y = –4

  6. 2x – 5y = 10  

    3x + 2y = –4

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