perplexus.info :: Just Math : Consistency parameter

Consistency parameter (Posted on 2019-01-30)

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

No Solution Yet Submitted by Ady TZIDON

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about the problem

| Comment 2 of 3 |

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 2019-01-30 11:50:49

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