Question

Aflati numerele x y z daca sunt direct proportionale cu 3 5 6 iar 3x+2y+z=750

DAU COROANA​

Answer 1

Răspuns:

x=90 , y=150 , z=180$\frac{x}{3} =\frac{y}{5}=\frac{z}{6}=k => x=3k ,y=5k , z=6k\\ \\3*3k+2*5k+6k=750 <=> 9k+10k+6k=750 <=>\\25k=750 <=> k=750:25 <=> k=30 => x=90 , y=150 , z=180$

Explicație pas cu pas:

Answer 2

Răspuns:

3x+2y+z=75

{x,y,z} d.p {3,5,6}

x/3=y/5=z/6=K

x/3=K=>x=3K

y/5=K=>y=5K

z/6=K =>z=6K

3x+2y+z =750

3•3K +2•5K+6K=750=>

=>9K+10K+6K=750=>

=> 19K+6K =750=>

=> 25K =750=>

=>K = 750:25

=>K=30

X=3•K=>X=3•30=>X=90

Y=5•K=>Y=5•30=>Y=150

Z=6•K=>Z=6•30=>Z=180

3x+2y+z=750

3•90+2•150+180=750

270+300+180=750

570+180=750

750=750