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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  • Question 16 (request help)

    Communicate Mathematical Ideas Is it possible to solve the system

    \(\begin{cases}
    3x - 2y = 10\\
    x + 2y = 6
    \end{cases}\)
    by using substitution? If so, explain how. Which method, substitution or elimination, is more efficient? Why?

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  • Question 17 (request help)

    Jenny used substitution to solve the system

     \(\begin{cases}
    2x + y = 8\\
    x - y = 1
    \end{cases}\) . Her solution is shown below.
    Step 1 : y = -2x + 8                            Solve the first equation for y.
    Step 2 : 2x + (-2x + 8) = 8                 Substitute the value of y in an original equation.
    Step 3 : 2x - 2x + 8 = 8                      Use the Distributive Property.
    Step 4:  8 = 8                                     Simplify.
    a. Explain the Error Explain the error Jenny made. Describe how to correct it.

  • Type below:
  • Question 17 (request help)

    b. Communicate Mathematical Ideas Would adding the equations have been a better method for solving the system? If so, explain why.

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