Algebra

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Can you please advise if I worked this problem correctly:

11 + x = -15y

2x - 5y = 48

15y = 11+x
y = .73 + 15x

2x (.73 + 15X) - 48
2x -3.65 -75x = 48
-73x - 3.65 = 48
x = 51.65
x = -.70

  • Algebra -

    check it yourself like this:
    11 + (-.7) = -15(y) ?????

    I think x = 19 and y = -2

    http://www.idomaths.com/gauss_jordan.php
    with
    +1 15 -11
    +2 -5 +48

  • Algebra -

    Rewrite your equations:

    11 + x = - 15 y Subtract 11 to both sides

    11 + x - 11 = - 15 y - 11

    x = - 15 y - 11 Add 15 y to both sides

    x + 15 y = - 15y - 11 + 15 y

    x + 15 y = - 11



    2 x - 5 y = 48 Multiply both sides by 3

    2 x * 3 - 5 y * 3 = 48 * 3

    6 x - 15 y = 144


    Now your system become:

    x + 15 y = - 11

    6 x - 15 y = 144
    ________________


    x + 15 y = - 11
    +
    6 x - 15 y = 144
    ________________

    x + 6x + 15 y - 15 y = - 11 + 144

    7 x = 133 Divide both sides by 7

    x = 133 / 7

    x = 19


    Replace this value in equation:

    11 + x = - 15y


    11 + 19 = - 15 y

    30 = - 15 y Divide both sides by - 15

    30 / - 15 = y

    - 2 = y

    y = - 2


    Solution:

    x = 19 and y = - 2



    Proof:

    11 + x = -15 y

    11 + 19 = - 15 * ( - 2 )

    30 = 30



    2 x - 5 y = 48

    2 * 19 - 5 * ( - 2 ) = 48

    38 + 10 = 48

    48 = 48

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