Respuesta :
Answer:
5/7
Step-by-step explanation:
6=7k+1
-1 -1
--------------
5= 7k
Divide both sides by 7k
k= 5/7
[tex]\huge\color{purple}\boxed{\colorbox{black}{k=0.714}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]➺ \: 6 = 7k + 1[/tex]
[tex]➺ \: 7k = 6 - 1[/tex]
[tex]➺ \: 7k = 5[/tex]
[tex]➺ \: k = \frac{5}{7}\\ [/tex]
[tex]➺ \: k = 0.714[/tex]
Therefore, the value of [tex]k[/tex] is [tex]0.714[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]➺ \: 6 = 7k + 1[/tex]
[tex]➺ \: 6 = 7 \times 0.714 + 1[/tex]
[tex]➺ \: 6 = 5 + 1[/tex]
[tex]➺ \: 6 = 6[/tex]
➺ L. H S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
