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rewona [7]
3 years ago
13

Solve for x. 3/x-1 - 1/x^-1=5/x-1 Please show all work

Mathematics
2 answers:
navik [9.2K]3 years ago
5 0

3/(x-1) - 1/(x^2-1) = 5/(x-1)

Subtract 3/(x-1) from both sides

-1/(x^2-1) = 2/(x-1)

Factor x^2 - 1

-1/[(x-1)(x+1] = 2/(x-1)

Multiply by (x-1)(x+1) on both sides

-1 = 2 (x+1)

-1 = 2x + 2

Subtract 2 from both sides

-3 = 2x

Divide by 2 on both sides

-3/2 = x

Kitty [74]3 years ago
3 0

Answer:

x = -3/2

Step-by-step explanation:

\frac{3(x+1)}{(x-1)(x+1)} - \frac{1}{(x-1)(x+1)} = \frac{5(x+1)}{(x-1)(x+1)} \\  Find the common denominator

3(x+1) - 1 = 5(x+1)   Distribute

3x + 3 -1 = 5x +5    Combine Like terms

3x + 2 = 5x + 5      Solve for x

  2 = 2x +5

  -3 = 2x

  x = -3/2

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zheka24 [161]

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

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So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

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Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

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I hope you find my answer and explanation to be helpful. Happy studying.

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3 years ago
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</span>

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