Question

Determinati solutia sistemului -3x+y=6 6x+2y=1​

Answer 1

Am atasat rezolvarea

SPER CA TE-AM AJUTAT!!

Answer 2

Răspuns: $\red{\bf S(x,y)=\bigg\{\bigg( -\dfrac{11}{12}; \dfrac{13}{4} \bigg)\bigg\}}$

Explicație pas cu pas:

$\left\{\begin{matrix}\bf -3x + y = 6~~\bigg|\cdot2\\\\ \bf 6x + 2y = 1\end{matrix}\right. \implies\left\{\begin{matrix}\bf -6x + 2y = 12\\\\ \underline{\bf~~ 6x + 2y = 1~~}\end{matrix}\right.\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\bf 2y+2y=13\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\bf 4y=13\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\green{\boxed{\bf y=\dfrac{13}{4}}}$

$\bf -3x + \dfrac{13}{4} = 6~~~\bigg|\cdot4$

$\bf -12x + 13 = 24$

$\bf -12x= 24 -13$

$\bf -12x= 11$

$\green{\boxed{\bf x=-\dfrac{11}{12} }}$

$\red{\bf S(x,y)=\bigg\{\bigg( -\dfrac{11}{12}; \dfrac{13}{4} \bigg)\bigg\}}$

$\bf$Bafta multa !