Q&A #3962

Teachers' Lounge Discussion: Algebra

T2T || FAQ || Ask T2T || Teachers' Lounge || Browse || Search || T2T Associates || About T2T

View entire discussion
[<< prev] [ next >>]

From: Teh Oh Kian

To: Teacher2Teacher Public Discussion
Date: 2000121012:28:36
Subject: A special linear equation

I was told by my State Eduction Director of Education that a teacher
failed to write down the mathematical expression of the following word
Form an equation of two numbers whose sum is the multiple of their
The problem is actual simple. I tested on my son and he gave me the
x + y = k (x - y).
It's perfectly correct.
On further asking him to solve this equation, he hesitated.
It is trivial that x and y are positive integers with x > y.
On further investigation, the lower bound of y is 1 and the lower
bound of x is 2. My problem is to prove or disprove that the set of
solutions (x, y) is countably finite. If the set of feasible solutions
is countably finite, find the upper bound of x and the upper bound  y.

Post a reply to this message
Post a related public discussion message
Ask Teacher2Teacher a new question

[Privacy Policy] [Terms of Use]

Math Forum Home || The Math Library || Quick Reference || Math Forum Search

Teacher2Teacher - T2T ®
© 1994- The Math Forum at NCTM. All rights reserved.