System of linear equations

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  1. \bullet The solutions to a system of equations are the points of intersection of the graphs.
    \bullet For a system consisting of two linear equations: System of linear equations
    There are 3 cases to consider:
    Graphs of system of linear equations with different number of solutions
  1. Solving by Elimination
    Solve each linear system algebraically by elimination.
    1. 3x+4y=113x+4y=11
    2. 6x1=2y6x-1=2y
    3. 3(x+2)(y+7)=103(x+2)-(y+7)=-10
  2. Solving by Substitution
    Solve each linear system algebraically by substitution.
    1. 6x1y=76x-1y=7
    2. 3(x+2)(y+7)=43(x+2)-(y+7)=4
    3. xy=1x - y = -1
      3x+5y=213x + 5y = 21
Topic Notes