Math Practice 101
Homework Explained - Math Practice 101

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Grade 8 HMH Go Math - Answer Keys
Chapter 8:Solving Systems of Linear Equations; Lesson 5: Solving Solving Special Systems


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8.5 Independent Practice

Solve each system by graphing. Check your answer algebraically.

  • Question 6 (request help)

    \(\begin{cases}
    -2x + 6y = 12\\
    x - 3 y = 3
    \end{cases}\)

    Solution:______________
  •    
  • Question 7 (request help)

    \(\begin{cases}
    15x + 5y = 5\\
    3x + y = 1
    \end{cases}\)

    Solution:_______________
  •    

For Exs. 8–14, state the number of solutions for each system of linear equations

  • Question 8 (request help)

    a system whose graphs have the same slope but different y-intercepts
  •    
  • Question 9 (request help)

    a system whose graphs have the same y-intercepts but different slopes
  •    
  • Question 10 (request help)

    a system whose graphs have the same y-intercepts and the same slopes
  •    
  • Question 11 (request help)

    a system whose graphs have different y-intercepts and different slopes
  •    
  • Question 12 (request help)

    the system

    \(\begin{cases}
    y = 2\\
    y = -3
    \end{cases}\)
  •    
  • Question 13 (request help)

    the system

    \(\begin{cases}
    x = 2\\
    y = -3
    \end{cases}\)
  •    
  • Question 14 (request help)

    the system whose graphs were drawn using these tables of values:
  •    
  • Question 15 (request help)

    Draw Conclusions The graph of a linear system appears in a textbook. You can see that the lines do not intersect on the graph, but also they do not appear to be parallel. Can you conclude that the system has no solution? Explain.
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