Răspuns: [tex]\red{\bf S(x,y)=\bigg\{\bigg( -\dfrac{11}{12}; \dfrac{13}{4} \bigg)\bigg\}}[/tex]
Explicație pas cu pas:
[tex]\left\{\begin{matrix}\bf -3x + y = 6~~\bigg|\cdot2\\\\ \bf 6x + 2y = 1\end{matrix}\right. \implies\left\{\begin{matrix}\bf -6x + 2y = 12\\\\ \underline{\bf~~ 6x + 2y = 1~~}\end{matrix}\right.\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\bf 2y+2y=13\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\bf 4y=13\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\green{\boxed{\bf y=\dfrac{13}{4}}}[/tex]
[tex]\bf -3x + \dfrac{13}{4} = 6~~~\bigg|\cdot4[/tex]
[tex]\bf -12x + 13 = 24[/tex]
[tex]\bf -12x= 24 -13[/tex]
[tex]\bf -12x= 11[/tex]
[tex]\green{\boxed{\bf x=-\dfrac{11}{12} }}[/tex]
[tex]\red{\bf S(x,y)=\bigg\{\bigg( -\dfrac{11}{12}; \dfrac{13}{4} \bigg)\bigg\}}[/tex]
[tex]\bf[/tex]Bafta multa !
