Question

► Hallar el valor de "K" que verifica la proporcionalida
k+1/6=k/4

k-1/3 =7k-12/6

5k+2/6=13k-25/1/2​

Answer 1

Respuesta:

Primera pregunta

$k + \frac{1}{6} = \frac{k}{4} \\ \frac{1}{6} = \frac{k}{4} - k \\ \frac{1}{6} = \frac{k - 4k}{4} \\ \frac{1}{6} = \frac{ - 3k}{4} \\ 4 = - 18k \\ 18k = - 4 \\ k = - \frac{2}{9}$

Segunda pregunta

$k - \frac{1}{3} = 7k - \frac{12}{6} \\ \frac{12}{6} - \frac{1}{3} = 7k - k \\ \frac{5}{3} = 6k \\ \frac{5}{18} = k$

Tercera pregunta.

$5k + \frac{2}{6} = 13k - \frac{25}{ \frac{1}{2} } \\ \frac{2}{6} + \frac{50}{1} = 13k - 5k \\ \frac{302}{6} = 8k \\ \frac{302}{48} = k \\ \frac{151}{24} = k$