Question

Daca stie cineva
xy+2x+y=17
x,y?​

Answer 1

Scriem y in functie de x:

xy+2x+y=17

2x-17=y-xy

2x-17=y(1-x)

y=$\frac{2x-17}{1-x}$

=> x * $\frac{2x-17}{1-x}$ + 2x + $\frac{2x-17}{1-x}$  =17 | amplificam la 2x si la 17 cu 1-x si scapam de fractie

=> 2x²-17x - 2x² +2x +2x-17 = -17x +17 | -17x se reduc si la fel 2x² din stanga

2x+2x-17=-17x+17

21x=34

x=$\frac{34}{21}$ si apoi inlocuiesti in formula lui y