Question

{X+y-2=0
{X²-2x+y=0
Sa se rezolve sistemul

Answer 1

x+y=2
$x^{2}$-2x+y=0

x=2-y
(2-y)$^{2}$ -2(2-y) +y=0

Se ia separat ecuatia 

4-4y+$y^{2}$-4+2y+y=0
$y^{2}$-y=0
y(y-1)=0
$y_{1}$=0
$y_{2}$=1

$x_{1}$=2
$x_{2}$=1

si S={($x_{1}; y_{1}$);($x_{2} ; y_{2}$)}