Question

VA ROOOG!!! E URGEENT!! Tipuri deosebite de sisteme

{4|x|-y=3

{-5|x|+3y=5

Answer 1

Răspuns:

|x|=$\left \{ {{x; x\geq 0} \atop {-x; x<0}} \right.$ ⇒

x≥0

$\left \{ {{4x-y=3} \atop {-5x+3y=5}} \right.$  ⇒ y=4x-3

-5x+3(4x-3)=5    

-5x+12x-9=5

7x=14 ⇒ x=2; y=5

x<0

$\left \{ {{-4x-y=3} \atop {5x+3y=5}} \right.$ ⇒ y=-4x-3

5x+3(-4x-3)=5    

5x-12x-9=5

-7x=14 ⇒ x=-2; y=5

Explicație pas cu pas: