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16 January, 18:32

Which equation has no solution?

A) 4 (x + 3) + 2x = 6 (x+2)

B) 5+2 (3 + 2x) = x + 3 (x + 1)

C) 5 (x + 3) + x = 4 (x + 3) + 3

D) 4 + 672 + x) = 2 (3x + 8)

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Answers (2)
  1. 16 January, 21:53
    0
    B

    Step-by-step explanation:

    5+2 (3+2x) = x + 3 (x+1)

    simplify

    5 + 6 + 4x = x + 3x + 3

    simplify once more

    11 + 4x = 4x + 3

    subtract 3 from both sides

    8 + 4x = 4x

    divide by 4

    2 + x = x

    no solution, because it is saying x equals something larger than x
  2. 16 January, 22:03
    0
    Answer: B) 5 + 2 (3 + 2x) = x + 3 (x + 1)

    Step-by-step explanation:

    A) 4 (x + 3) + 2x = 6 (x + 2)

    4x + 12 + 2x = 6x + 12

    6x + 12 = 6x + 12

    infinitely many solutions

    B) 5 + 2 (3 + 2x) = x + 3 (x + 1)

    5 + 6 + 4x = x + 3x + 3

    11 + 4x = 4x + 3

    11 = 3

    FALSE

    No Solution

    C) 5 (x + 3) + x = 4 (x + 3) + 3

    5x + 15 + x = 4x + 12 + 3

    15 + 6x = 4x + 15

    15 + 2x = 15

    2x = 0

    x = 0

    One Solution

    D) 4 + 672 + x = 2 (3x + 8)

    676 + x = 6x + 16

    660 = 5x

    180 = x

    One Solution
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