Find the points of intersections of these equations?

Question

x^2+y^2=1
-x+y+1

This is what I've done so far, I isolated the y's out
y= +/- sqrt(1-x^2)
y=x+1
But I am stuck on how to make them together in order to find the point of intersection, any help is greatly appreciated!

Answer 1

do you mean
-x+y = 1 ????? so y=x+1
if so
circle with center at (0,0) and radius 1
line through (0,1) and (-1,0)

x^2 + (x+1)^2 = 1

x^2 + x^2 + 2 x + 1 = 1

2 x^2 + 2 x = 0
x(x+1) = 0
x = 0 or x = -1
line hits the circle at the x and y axis intersections

Answer 2

Thanks for the correction! I understand now

Answer 3

You are welcome.