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use the elimination method to solve the system of equations choose the correct ordered pair

5x+3y=58
5x-3y=22

A.(8,6)
B.(5,3)
C.(5,1)
D.(8,2)

Answer :

5x+3y=58
5x-3y=22    First, line your variables up (aready done for you).
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10x   = 80   Add the "5x" and "5x" up. The "3y" and "-3y" cancel out.
-----     -----
10        10   Divide both sides by 10.
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    x = 8        Tada! Your answer for X. Now plug that into an equation.


5(8)+3y=58      Plugin X into equation
40 + 3y = 58    Combine like terms
-40          -40    Isolate variable
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        3y = 18     
        ---    ----
         3       3     Divide by 3 to get Y alone
           y = 6       Y = 6! Now, put that into a pair to get....

A)  (8,6)

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