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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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a² + b² = c² ;

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a² + b² = c² ; 

a² = c² − b² ;

Plug in the known values for "c" and "b" ;

a² = (2√3)²  −  (√3)² ;

Simplify:

(2√3)² = 2² * (√3)² = 2 * 2 * (√3√3)  = 4 * 3 =  12 .

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a²  = 12 − 3 = 9 .

a² = 9

Take the "positive square root" of EACH SIDE of the equation; to isolate "a" on one side of the equation;  & to solve for "a" ; 

+√(a²)  = +√9 ;

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