Question

Calcule o valor no X:

x-5      6                __a
x-1      24              __b
________________c

Answer 1

a)

$\frac{x-5}{x-1} = \frac{6}{24}$

$24(x-5)=6(x-1) \\ 24x-120=6x-6 \\ 24x-6x=-6+120 \\ 18x=114 \\ x= \frac{114}{18} = \frac{114:6}{18:6} = \frac{19}{3}$

S={ $\frac{19}{3}$}

Answer 2

$\dfrac{x-5}{x-1}=\dfrac{6}{24}$

$\dfrac{x-5}{x-1}=\dfrac{1}{4}$

$x-1=4(x-5)~~\Rightarriw~~x-1=4x-20~~\Rightarrow~~4x-x=20-1$

$3x=19~~\Rightarrow~~x=\dfrac{19}{3}$.