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29 December, 02:15

2x+3y=15

x+y=6

work out the values of x and y

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Answers (2)
  1. 29 December, 03:53
    0
    x=3

    y=3

    Step-by-step explanation:

    x = 6-y

    -plug in (6-y) into first equation

    2 (6-y) + 3y = 15

    12-2y+3y=15

    -2y+3y = 3

    y=3

    x=6-3

    x=3

    double check:

    (2*3) + (3*3) = 6 + 9 = 15

    3 + 3 = 6
  2. 29 December, 04:44
    0
    x = 3

    y = 3

    Step-by-step explanation:

    2x + 3y = 15

    x + y = 6

    2x + 3y = 15

    x (-3) + y (-3) = 6 (-3)

    2x + 3y = 15

    -3x - 3y = - 18

    Add:

    2x + 3y = 15

    -3x - 3y = - 18

    - x = - 3

    x = 3

    Substitute x to any of the equation:

    x + y = 6

    3 + y = 6

    y = 6 - 3

    y = 3
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