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: