So you know the whole line is XZ which is 83.Then you find out it is in two parts so that is XY and YZ which are 11 and 4c. You can make the equation:

11+4c=83
4c=72
c=18

c=18 and YZ=72

8 0

2 years ago

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

Masteriza [31]

<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 - $\dfrac{10}{3}$ .

5 0

3 years ago