For what value
K is the following system consistent?
(i) p+q=6
(ii) kp+q=18
(iii) p+kq=30
Source: Terry Stickel, Challenging Math Problems, 2015
This is really just a system of 3 equations and 3 unknowns, presented as if there were two variables (p,q) and k is some extra parameter.
Charlie already gave a nice solution, but here's a nice graph where you can alter k to make the three lines cross at a single point.
https://www.desmos.com/calculator/1pbnvjrlp4

Posted by Jer
on 20190130 11:50:49 