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13 October, 03:35

Solve for the variables: 2x+5y=37 11-2x=y

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Answers (2)
  1. 13 October, 05:03
    0
    x = 2.25

    y=6.5

    Step-by-step explanation:

    2x+5y=37 y=11-2x

    2x+5 (11-2x) = 37

    2x+55-10x=37

    -8x+55=37

    -55 - 55

    -8x=-18

    :-8 : -8

    x = 2.25

    y=11-2x

    y=11-2 (2.25)

    y=11-4.5

    y=6.5
  2. 13 October, 07:14
    0
    Answer: x = 18/8 y = 13/2

    Step-by-step explanation:

    We know that y = 11-2x

    So, you want to do the substitution method.

    The equation states : 2x+5y = 37

    So, you would substitute the y in the equation for 11-2x

    2x+5 (11-2x) = 37

    2x+55-10x = 37 (combine like terms)

    -8x + 55 = 37 (subtract 55 from each side)

    -8x = - 18 (divide - 8 from each side)

    x = 18/8

    Now, we need to solve for y. For that, we just need to substitute the x in the y equation.

    It would look like this: 11-2 (18/8) = y

    Now we solve.

    11-18/4 = 13/2 (6.5)

    So, y equals 13/2. Now to check, plug in each for the equation and see if it is correct.
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