Question

rezolvati in RxR,prin metoda utilizarii necunoscutelor auxiliare,sistemul de ecuatii
{2/x-3/y=4
5/x+1/y=1/2

Answer 1

Inlocuim 1/x=u si 1/y=v obtinem sistemul: $\left \{ {{2u-3v=4} \atop {5u+v= \frac{1}{2} }} \right.$ inmmultind a doua ecuatie cu 3 si le adunam ne da :
u=$\frac{11}{34}$ si inlocuind aceasta valoare in a doua ecuatie, obtinem v=$\frac{19}{17}$, de unde xsi y se obtin rasturnand valorile : $x= \frac{34}{11}.si,y= \frac{17}{19}$