Răspuns :
[tex]\it x-y=15\ \ \ \ \ (*)\\ \\ x^2-y^2=75\ \Rightarrow (x-y)(x+y)=75 \stackrel{(*)}{\Longrightarrow}\ 15\cdot(x+y)=75|_{:15} \Rightarrow x+y=5[/tex]
[tex]\it x-y=15\ \ \ \ \ (*)\\ \\ x^2-y^2=75\ \Rightarrow (x-y)(x+y)=75 \stackrel{(*)}{\Longrightarrow}\ 15\cdot(x+y)=75|_{:15} \Rightarrow x+y=5[/tex]