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Section 7.1&2 – Systems of Equations

Section Details.
  • Solving a linear system with two equations
  • The graphical interpretation of a system of linear equations
  • Using the substitution method to solve a linear system of equations
  • Using the elimination method to solve a linear system of equations


Practice Problems


Directions. The following are review problems for the section. We recommend you work the problems yourself, and then click "Answer" to check your answer. If you do not understand a problem, you can click "Video" to learn how to solve it. 
  1.  Solve using substitution:
    \begin{array}{c} 
    x + 5 y = 47\\
    7x-8y=-15
    \end{array}

    \( \left(\dfrac{301}{43},\dfrac{344}{43}\right)\)

    To see the full video page and find related videos, click the following link.
    WIR7 20B M150 V15


  2. Solve using elimination:\begin{array}{c} 
    4x-5y=8\\
    -8x+10y = -16
    \end{array} ​

    \( \left(a,-\dfrac{8}{5}+\dfrac{4}{5}a\right)\)

    To see the full video page and find related videos, click the following link.
    WIR7 20B M150 V16


  3. Solve using whichever method you choose: \begin{array}{c} 
    3x-9y=11\\
    -4x+12y = 0
    \end{array} 

    No Solution

    To see the full video page and find related videos, click the following link.
    WIR7 20B M150 V17