Question

Calculati x,y si z, stiind ca $\frac{x}{2} = \frac{y}{3} = \frac{z}{5}$ si 2x+y+3z=44.

*Coronita*

Answer 1

Notam $\frac{x}{2}$ =$\frac{y}{3}$ =$\frac{z}{5}$ =k
=> $\frac{x}{2}$ = k =>x=2k
=> $\frac{y}{3}$ = k =>y=3k
=> $\frac{z}{5}$ = k =>z=5k
2x+y+3z=44
=> 4k + 3k +15k=44
=>22k=44 => k=2
Dar x=2k, deci x=4
       y=3k, deci y=6
       z=5k, deci z=10

Answer 2

x/2 = k     x = 2k
y/3 = k     y = 3k
z/5 = k     z = 5k
inlocuim cu k in ecuatia data
2 * 2k + 3k + 3 * 5k = 44
4k + 3k + 15k = 44
22k = 44
k = 44 : 2
k = 2
x = 2 * 2 
x = 4
y = 3 * 2
y = 6
z = 5 * 2
z = 10