Question 568189
y=x^2-1 and x+y=1

y=x^2-1 

this is a parabola
generate values of x& y

x=0, y=-1 (0,-1)
y=0,x=1 (1,0)
x=-2, y=3 (-2,3)
x=2,y=3 (2,3)

and x+y=1

x=0,y=1 (0,1)
y=0,x=1(1,0)

Plot the points draw the curve and the straight line 

{{{drawing(300,300,-10,10,-10,10,circle(0,-1,0.3),circle(1,0,0.3),circle(-2,3,0.3),circle(2,3,0.3),circle(0,1,0.3),circle(1,0,0.3),circle(-1,0,0.3),circle(-2,3,0.3)grid(1),graph(300,300,-10,10,-10,10,y=x^2-1,y=-x+1))}}}

The solutions are (1,0) , (-2,3)

m.ananth@hotmail.ca