Question

Solve for x: 2 over 3 equals 8 over quantity x plus 6

Answer 1

Answer:

x = 40/3

Step-by-step explanation:

2/3 = (8/x) + 6

-6                -6

2/3 - 6 = -16/3

-16/3 = 8/x

*x          *x

(-16/3)x = 8

+16/3     +16/3

x = 40/3

Answer 2

Answer: x= 6

Step-by-step explanation:

Given equation  : $\dfrac{2}{3}=\dfrac{8}{(x+6)}$

To solve the above equation, first we multiply 3(x+6) on both sides , then we get

$3(x+6)\times\dfrac{2}{3}=3(x+6)\times\dfrac{8}{(x+6)}$

$\Rightarrow\ (x+6)\times2=3\times8$

Using distribution property : $(b+c)a=ba+ca$

we get

$\Rightarrow\ (x)(2)+(6)(2)=24$

$\Rightarrow\ 2x+12=24$

Subtract 12 from both sides , we get

$\Rightarrow\ 2x=12$

Divide both sides by 2 , we get

$x=6$

Hence, the value of x= 6 .