Algebra 2

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can someone show me how to do it step by step please!
Use a graph and table to solve each system. check your answer
{y+x=5
{3x-5y=-1

  • Algebra 2 -

    x + y = 5,
    3x - 5y = -1,
    I will use the elimination method which
    eliminates 1 variable and allows me to solve for the other.

    Step 1. Multiply both sides of the 1st Eq by -3 and add the 2 Eqs:

    -3x - 3y = -15,
    3x - 5y = -1,

    0 - 8y = -16,
    - 8y = - 16,

    Step 2. Divide both sides by -8 and get:
    y = 2.

    Step 3. Substitute 2 for y in Eq 1
    and solve for x:
    x + 2 - 5,
    x = 5 - 2,
    x = 3.

    Solution set:(x , y) = (3 , 2) = The
    point where the 2 graphs will intersect.


    To graph the Eqs, use the following
    convenient points:

    x + y = 5. (0 , 5) , (2 , 3) , (5 ,0).
    3x - 5y = -1. (-2 , -1) , (3 , 2) ,
    (5 , 3.2).

    I hope this will help.

  • Algebra 2 -

    CORRECTION: The 1st Eq under Step 3
    should read: x + 2 = 5.

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