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19 July, 01:28

What is the solution to the system: 9x+3y=24 2y+4x=8

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Answers (2)
  1. 19 July, 02:49
    0
    x = 4, y = - 4

    Step-by-step explanation:

    9x + 3y = 24

    3x + y = 8 divide both sides by 3

    y = 8 - 3x subtract 3x from both sides

    2y + 4x = 8

    2 (8 - 3x) + 4x = 8 replace y with 8 - 3x

    16 - 6x + 4x = 8 distributive property

    -6x + 4x = 8 - 16 subtract 16 from both sides

    -2x = - 8 divide both sides by - 2

    x = 4

    y = 8 - 3x

    y = 8 - 3 (4) replace x with 4

    y = 8 - 12

    y = - 4
  2. 19 July, 03:12
    0
    The solution is x = 4 and y = - 4

    Step-by-step explanation:

    (9x + 3y = 24) - 2

    (4x + 2y = 8) 3

    -18x - 6y = - 48

    12x + 6y = 24

    -6x = - 24

    x = 4

    Plug this into one of the equations

    2y+4 (4) = 8

    2y + 16 = 8

    - 16 - 16

    2y = - 8

    y = - 4
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