Question

Aplique a regra de 3 e determine o valor de X em cada igualdade a seguir:
a) 9/2x-1 = 3/6
b) x+1/x-1 = 5/6

Answer 1

a)    9     = 3 
     2x-1     6 

3(2x-1) = 9.6 ==> 6x - 3 = 54 ==> 6x = 54+3 ==> 6x = 57 ==> x = 57/6
========================================================
b) x+1  = 5
    x - 1    6

6(x + 1) = 5(x - 1) ==> 6x + 6 = 5x - 5 ==> 6x-5x = - 5-6 ==> x = - 11

Answer 2

Olá ☺

a)
$\frac{9}{2x-1} = \frac{3}{6}$
$6x-3=54$
$6x=54+3$
$6x=57$
$x= \frac{57}{6}$

b)


$\frac{x+1}{x-1}= \frac{5}{6}$
$6x+6=5x-5$
$6x-5x=-5-6$
$x= -11$

Bons Estudos :)