Cat and Mouse: coordinates of intersections

[gdunne18]

Pleas help me out on this

A mouse is running a donut-shaped track with equation:

(X-4)2 + (Y-3)2 = 4

At the same time a cat is running a coplanar intersecting opaque track with equation:

[(X-4)^2] ÷ 9 + [(Y-3)^2] ÷ 1 = 1

What are the four possible coordinates of the intersections (simultaneous solutions) where the mouse might catch the cat?

 

[stapel]

Solve one of the equations for one of the variable expressions (don't bother multiplying things out), and plug this into the other equation. Solve the resulting equation for the other variable.

Then back-solve for the first variable, and write down the points.

Eliz.

 

[gdunne18]

thanks