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andrezito [222]
3 years ago
7

For what value of x do the expressions 2/3x + 2 and 4/3x -6 have the same value

Mathematics
1 answer:
Masteriza [31]3 years ago
5 0
<h2>The value of x = - \dfrac{10}{3}</h2>

Step-by-step explanation:

The given expressiona are:

\dfrac{2}{3x+2} and \dfrac{4}{3x-6}

To find, the value of x = ?

∴  \dfrac{2}{3x+2}=\dfrac{4}{3x-6}

By crossmultiplication, we get

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

⇒ 12x + 8 = 6x - 12

⇒ 12x - 6x =  - 12 - 8

⇒ 6x = - 20

⇒ 3x = - 10

⇒ x = - \dfrac{10}{3}

∴ The value of x = - \dfrac{10}{3}

Thus, the value of x is equal to - \dfrac{10}{3}.

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The larger number is 30

Step-by-step explanation:

L + S = 52

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Set both equations equal to L.

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3 years ago
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Answer:

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Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.

The domain of (f/g)(x) is all real numbers except ±5.

___

Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:

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  2. factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.
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