Răspuns:
1/x =2/y=3/z=4/t =k coeficient de proportionalitate
x=1/k
y=2/k
z=3/k
t=4/k
x+y/2+z/3+t/4=1/8
1/k+(2/k)/2+(3/k)/3+(4/k)/4=1/8
1/k+1/k+1/k+1/k=1/8
4/k = 1/8
k=4×8/1=>k=32
x=1/k=>x=1/32
y=2/k=2/32 =>y=1/16
z=3/k=>z=3/32
t=4/k>t=4/32=>t=1/8
verificare:
1/32+1/16:2/1+3/32:3/1+1/8:4/1=
1/32+1/16×1/2+3/32×1/3+1/8×1/4=
1/32+1/32+1/32+1/32=(4/32)⁽⁴=1/8
Explicație pas cu pas:
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Răspuns:
1/x =2/y=3/z=4/t =k coeficient de proportionalitate
x=1/k
y=2/k
z=3/k
t=4/k
x+y/2+z/3+t/4=1/8
1/k+(2/k)/2+(3/k)/3+(4/k)/4=1/8
1/k+1/k+1/k+1/k=1/8
4/k = 1/8
k=4×8/1=>k=32
x=1/k=>x=1/32
y=2/k=2/32 =>y=1/16
z=3/k=>z=3/32
t=4/k>t=4/32=>t=1/8
verificare:
1/32+1/16:2/1+3/32:3/1+1/8:4/1=
1/32+1/16×1/2+3/32×1/3+1/8×1/4=
1/32+1/32+1/32+1/32=(4/32)⁽⁴=1/8
Explicație pas cu pas:
verificare: