Răspuns:
33. {x,y,z} ip {[tex]\frac{1}{2}[/tex];[tex]\frac{1}{3}[/tex];[tex]\frac{1}{4}[/tex]} (In paranteza a doua am transformat fractiile,iar dupa le-am simplificat)
=> [tex]\frac{x}{2}[/tex]=k => x=2k =>x=2*4=8
[tex]\frac{y}{3}[/tex]=k => y=3k => y=3*4=12
[tex]\frac{z}{4}[/tex]=k => z=4k => z=4*4=16
x+y+z=2k+3k+4k=36
=9k=36 => k=4 (iar acum te duci si inlocuiesti pentru a afla pe x,y,z)
34. {x,y} ip { 1/5 ; 1/2} (slash-ul/bara este linia de fractie)
2x+3y=48
x/5=k => x=5k => x=15
y/2=k => y=2k => y=6
2x+3y=2*5k+3*2k=48
=10k+6K=48
=16k=48 => k=3
35.{a,b,c} ip {1/3; 1/2; 1/4}
6a+2b-5c=50
a/3=k => a=3k => a=75
b/2=k => b=2k => b=50
c/4=k => c=4k => c=100
6a+2b-5c=6*3k+2*2k-5*4k=50
=2k=50 => k=25
Explicație pas cu pas:
