Solving Quadratic Systems by Substitution or Elimination

Two friends are running in the field to get ready for a race. They are each running a different track.

Just to spice it up, Joel is running in circles and Lynn is running in a straight line. If we represent their running tracks in equations, we have:

for Joel, since he is running in circles, the equation is $x^2+y^2=13$ for Lynn, the equation is $2x+y=1$

(note: you can review equations of circles here and factoring quadratics here)

Can you find the points where their running tracks intersect?