Răspuns :

1/x = 2/y = 3/z = 4/t = k

x = 1/k, y = 2/k, z = 3/k, t = 4/k

x + y/2 + z/3 + t/4 = 1/8

1/k + 1/k + 1/k + 1/k = 1/8

4/k = 1/8

k = 4 * 8/1 = 32

Răspuns:

x = 1/k = 1/32

y = 2/k = 2/32 = 1/16

z = 3/k = 3/32

t = 4/k = 4/32 = 1/8

Răspuns:

[tex]\frac{x}{2}= \frac{y}{3}= \frac{z}{4} =k[/tex] ⇒ x=2k,   y=3k,   z=4k

x+y+z=29 ⇒ 2k+3k+4k=29  9k=29  ⇒  [tex]k=\frac{29}{9}[/tex]

[tex]x=2*\frac{29}{9}[/tex]  ⇒ [tex]x=\frac{58}{9}[/tex]

[tex]y=3*\frac{29}{9}[/tex]  ⇒  [tex]y=\frac{29}{3}[/tex]

[tex]z=4*\frac{29}{9}[/tex]  ⇒ [tex]z=\frac{116}{9}[/tex]

Explicație pas cu pas: