If B is between A and C, and AB=3x+1 and BC=2x-7, and AC=19, then find the value of x.

Question

If B is between A and C, and AB=3x+1 and BC=2x-7, and AC=19, then find the value of x.

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Cherry 1 year 2021-08-30T13:41:50+00:00 2 Answers 9 views 0

Answers ( )

    0
    2021-08-30T13:43:23+00:00

    Since AB and BC are two parts of AC, AC = AB + BC

    let’s plug the expressions from the question into our equation above.

    19 = 3x + 1 + 2x – 7

    Combine like terms

    19 = 5x – 6

    Add 6 to both sides.

    25 = 5x

    Divide both sides by 5

    5 = x

    0
    2021-08-30T13:43:43+00:00

    Answer:

    x = 5

    Step-by-step explanation:

    Given that B is between A and C then

    AB + BC = AC , substitute values

    3x + 1 + 2x – 7 = 19 , that is

    5x – 6 = 19 ( add 6 to both sides )

    5x = 25 ( divide both sides by 5 )

    x = 5

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