Question

determinați nr x,y,z invers proporțional cu 2 3,4, b )x+z-y=10 c) y+z-x=4​

Answer 1

Răspuns:

[ x,  y, z]  i. p. [ 2, 3, 4]

x/(1/2)=y/(1/3)= z/(1/4)

2x=3y=4z= k

x=k/2

y=k/3

z=k/4

x+z-y=10

⁶⁾k/2+³⁾k/4-⁴⁾k/3=¹²⁾10

6k+3k-4k=120

5k=120

k=120:5=>k=24

x=24:2=>x=12

y=24:3=>y=8

z=24:4=>z=6

_________________

y+z-x=4

⁴⁾k/3+³⁾k/4-⁶⁾k/2=¹²⁾4

4k+3k-6k=48

k=48

x=48:2=>x=24

y=48:3=>y=16

z=48:4=>z=12