harder simultaneous equations

Question

solve the equations

y= x+1

y=x^2-1

Answer 1

These two equations can be combined: y=x+1=x^2-1, so x^2-1=x+1; x^2-x-2=0=(x-2)(x+1), making x=2 or -1. So y=3 or 0 respectively. The answers can be written (2,3) and (-1,0).