Question

1. {x,y,z} i.p. {2,4,8}
x+y+z=14

2. {x,y,z} i.p. {2,3,4}
x+2-y=10

3. {x,y,z} i.p. {2,3,7}
2y-x-y=1


va rog mult sa ma ajutați! :(

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Answer 1

Explicație pas cu pas:

1.

$2x = 4y = 8z = k$

$x = \dfrac{k}{2} \ ; \ y = \dfrac{k}{4} \ ; \ z = \dfrac{k}{8}$

$x + y + z = \dfrac{k}{2} + \dfrac{k}{4} + \dfrac{k}{8} = \dfrac{4k + 2k + k}{8} = \dfrac{7k}{8}$

$14 = \dfrac{7k}{8} \implies k = 16$

$x = \dfrac{16}{2} \implies x = 8 \\ y = \dfrac{16}{4} \implies y = 4 \\ z = \dfrac{16}{8} \implies z = 2$