Mathematics
sarahberah76
27

Part 2: Solve the system using the substitution method. Show all work here and indicate the solution for the system as an ordered pair. Part 3: Solve the system using the addition method. Show all work here and indicate the solution for the system as an ordered pair. x - 2y = 0  5x + 2y = 24

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(1) Answers
Kitana

Substitution: Step 1: Choose one of the two equations and solve for either x or y.      x - 2y = 0        + 2y  +2y --------------------------      x = 2y + 0  Step 2: Plug in the value you got for x or y into the equation you did not work with in Step 1. 5(2y + 0) + 2y = 24 10y + 0 + 2y = 24   12y = 24 ------- ------   12    12 y = 2  Step 3: Plug in the number you got for y into either equation.      5x + 2(2) = 24      5x + 4 = 24           - 4    - 4 ---------------------------      5x = 20    ------ ------       5      5 x = 4 Your final answer should be written as a coordinate pair: (4,2). ____________________________________________________________ Elimination: Add the two equations together to eliminate y.      x - 2y = 0 + 5x + 2y = 24 ----------------------    6x = 24  ------ ------     6      6 x = 4 Step 2: Substitute the x value into the original equation to find y. 5(4) + 2y = 24       20 + 2y = 24                            - 20          - 20                        --------------------------                              2y = 4                             ------ -----                               2     2                                 y = 2 I hope this answer helps you :D                          

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