Chapter 10 - Section 10.5 - Systems of Nonlinear Equations in Two Variables - Exercise Set - Page 810: 2

$(x,y)=${$(0,1),(1,2)$}

Re-write the first equation as: $y=x+1$ The second equation yields: $x+1=x^2+1$ or, $x^2-x=0$ or, $x(x-1)=0$ or, $x=${$0,1$} From first equation when $x=0$, we have $y=1$ From first equation when $x=1$, we have $y=2$ Thus, solution set is $(x,y)=${$(0,1),(1,2)$}