Question

Aflati x supra 6 , daca se stie că y - 2x =2 , iar 2y - x= 10

Answer 1

y-2x=2|·2⇒2y-4x=4(1)
2y-x=10(2)
Scadem pe *(2) cu (1) :
-x+4x=6
3x=6
x=2⇒ x/6=2/6=1/3

Answer 2

[tex]\it y-2x=2 \Longrightarrow y = 2+2x \ \ \ \ (1) \\\;\\ 2y-x = 10 \ \ \ \ \ (2)[/tex]

[tex]\it (1),\ (2) \Longrightarrow 2(2+2x)-x=10 \Longrightarrow 4+4x-x=10 \Longrightarrow \\\;\\ \Longrightarrow 4x-x=10-4 \Longrightarrow 3x=6 \Longrightarrow x=2[/tex]

$\it \dfrac{x}{6} = \dfrac{2}{6} = \dfrac{1}{3}$