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26 September, 23:23

8x+5=bx-7 In the equation shown above, b is a constant. For what value of b does the equation have no solutions?

A: - 8

B: - 7

C: 5

D: 8

+2
Answers (1)
  1. 27 September, 01:27
    0
    D: 8

    Step-by-step explanation:

    8x+5=bx-7

    Subtract bx from each side

    8x-bx+5=bx-bx-7

    8x-bx + 5 = 7

    Subtract 5 from each side

    8x-bx + 5-5 = 7-5

    8x-bx = 2

    Factor out the x

    (8-b) x = 2

    When 8-b = 0 we have

    0=2 which means we have no solutions since this is never true

    8-b=0

    Add b to each side

    8-b+b=0+b

    8=b
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