[tex] \left \{ {{3x+1=y+6} \atop {4x-5y=8}} \right. \Leftrightarrow \left \{ {{3x-y=5|\cdot 5} \atop {4x-5y=8}} \right. \Leftrightarrow \left \{ {{15x-5y=25} \atop {4x-5y=8}} \right. \\
Daca\ adunam\ relatiile: ~~~~~~~ 19x/=33\\
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ x=\boxed{\frac{33}{19}}\\
3\cdot \frac{33}{19}-y=5\\
\\
y=\frac{99}{19}-5\\
y=\frac{99-95}{13}=\boxed{\frac{4}{13}}
[/tex]
