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olchik [2.2K]
4 years ago
6

3x-5=-8(6+5x) plz help me with this problem

Mathematics
1 answer:
ArbitrLikvidat [17]4 years ago
5 0

Answer:

X=-1

Step-by-step explanation:

3x-5=-8(6+5x)

3x-5=-48-40x

43=-43x

-1=x

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
liberstina [14]

Answer: C) x = 3, (x = 2 is an extraneous solution)

<u>Step-by-step explanation:</u>

\frac{x}{x-1} - \frac{1}{x-2} = \frac{2x-5}{x^{2}-3x+2}

\frac{x}{x-1} - \frac{1}{x-2} = \frac{2x-5}{(x-1)(x-2)}

Restrictions: <em>Denominator cannot equal zero</em> (x - 1 ≠ 0) and (x - 2 ≠ 0), so x ≠ 1 and x ≠ 2

(x - 1)(x - 2)\frac{x}{x-1} - (x - 1)(x - 2)\frac{1}{x-2} = (x - 1)(x - 2)\frac{2x-5}{(x-1)(x-2)}

x(x - 2) - 1(x - 1) = 2x - 5

x² - 2x - x + 1 = 2x - 5

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4 0
3 years ago
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