Question

punctul a determinati nr (x,y,z) d.p (2,3,4) stiind ca x+y+z=45 punctul b determinati (x,y,z) d.p (3,4,6) stiind ca x+y-z=4

Answer 1

Sper ca te-am ajutat

Answer 2

PUNCTUL A

(x,y,z) d.p (2,3,4)
x/2=y/2=z/4=k
x=2=k=>x=2k
y/3=k=>y=3k
z/4=k=>z=4k

x+y+z=45 (inlocuim)
2k+3k+4k=45
9k=45
k=45:9
k=5

x=2·5=10
y=3·5=15
z=4·5=20

PUNCTUL B

(x,y,z)d.p (3,4,6)

x/3=y/4=z/6=k
x/3=k=>x=3k
y/4=k=>y=4k
z/6=k=>z=6k

x+y-z=4 (inlocuim)
3k+4k-6k=4
7k-6k=4
1k=4
k=4:1=4

x=3·4=12
y=4·4=16
z=6·2=24