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Algebra 1

2.5.5 Practice

Algebra 12.5.5 Practice
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2.5.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 – 4, add the equations in the system to find a new equation.

  1. { 6 x − 5 y = − 1 − 6 x − 3 y = − 39
  1. – 8 x = – 40
  2. − 8 y = − 40
  3. − 2 y = − 40
  4. 2 y = − 38
  1. { 5 x − 3 y = − 1 − 6 x + 3 y = − 6
  1. − 11 x = − 7 or 11 x = 7
  2. − 6 x = − 7 or 6 x = 7
  3. − x = − 7 or x = 7
  4. x = − 7 or − x = 7
  1. { 4 x − 3 y = 3 − 4 x − 10 y = 62
  1. − 13 x = 65
  2. − 8 y = 65
  3. − 8 x = 65
  4. − 13 y = 65
  1. { 6 x + 16 y = − 6 − 6 x − 10 y = 6
  1. 6 y = 12 or y = 6
  2. 12 x = 0 or x = 0
  3. 6 x = 0 or x = 0
  4. 6 y = 0 or y = 0

For questions 5 – 10, solve each system of equations.


  1. { 6 x + 27 y = − 12 − 6 x − 26 y = 14
  1. ( − 20 , 4 )
  2. ( 7 , − 1 )
  3. ( − 11 , 2 )
  4. ( 2.5 , − 1 )

  1. { 3 x + 4 y = 8 − 3 x + 6 y = 42
  1. ( 0 , 7 )
  2. ( − 4 , 5 )
  3. ( − 14 , 0 )
  4. ( − 10 , 2 )

  1. { 5 x − 9 y = 68 − 5 x + 6 y = − 47
  1. ( 1 , − 7 )
  2. ( 19 , 3 )
  3. ( − 13 , 3 )
  4. ( 7 , − 2 )

  1. { − 3 x + 5 y = − 57 8 x − 5 y = 77
  1. ( − 1 , − 17 )
  2. ( 14 , − 3 )
  3. ( 4 , − 9 )
  4. ( 19 , 0 )

  1. { 4 x − 2 y = − 28 − 7 x + 2 y = 46
  1. ( − 6 , 2 )
  2. ( − 8 , − 5 )
  3. ( 4 , 6 )
  4. ( 0 , 14 )

  1. { − 2 x + 3 y = 23 2 x − 6 y = − 56
  1. ( − 8 , 13 )
  2. ( 8 , 12 )
  3. ( 2 , 9 )
  4. ( 5 , 11 )
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