Homework Explained - Math Practice 101

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Grade 8 HMH Go Math - Answer Keys
Chapter 8:Solving Systems of Linear Equations; Lesson 3: Solving Systems by Elimination


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Guided Practice

  • Question 1 (request help)

    Solve the system

    \(\begin{cases}
    4x + 3y = 1\\
    x - 3y = -11
    \end{cases}\)

    by adding.

  • Type below:

Solve each system of equations by adding or subtracting.

  • Question 2 (request help)

    \(\begin{cases}
    x + 2y = -2\\
    -3x + 2 y = -10
    \end{cases}\)

  • \(x=\)   
    \(y=\)   
  • Question 3 (request help)

    \(\begin{cases}
    3x + y = 23\\
    3x - 2 y = 8
    \end{cases}\)

  •  ,
       )
  • Question 4 (request help)

    \(\begin{cases}
    -4x -5y = 7\\
    3x + 5 y = -14
    \end{cases}\)

  •  ,
       
  • Question 5 (request help)

    \(\begin{cases}
    x - 2y = -19\\
    5x + 2y = 1
    \end{cases}\)

  •  ,
       )
  • Question 6 (request help)

    \(\begin{cases}
    3x + 4y = 18\\
    -2x + 4 y = 8
    \end{cases}\)

  •  ,
       )
  • Question 7 (request help)

    \(\begin{cases}
    -5x + 7y = 11\\
    -5x + 3 y = 19
    \end{cases}\)

  •  ,
       )
  • Question 8 (request help)

    The Green River Freeway has a minimum and a maximum speed limit. Tony drove for 2 hours at the minimum speed limit and 3.5 hours at the maximum limit, a distance of 355 miles. Rae drove 2 hours at the minimum speed limit and 3 hours at the maximum limit, a distance of 320 miles. What are the two speed limits? 

    a. Write equatios to represent Tony’s distance and Rae’s distance.

  • Type below:
  • Question 8 (request help)

    b. Solve the system.

    minimum speed limit:______________

    maximum speed limit______________

  • minimum speed limit:    mi/h
    maximum speed limit:   mi/h

ESSENTIAL QUESTION CHECK-IN

  • Question 9 (request help)

    Can you use addition or subtraction to solve any system? Explain.

  •    

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