The sum of two rational numbers is -1/2. The difference is -11/10. What are the rational numbers?
1 Answer
Mar 13, 2018
The required rational numbers are
Explanation:
Denoting the two rational numbers by
From the information given,
and
These are just simultaneous equations with two equations and two unknowns to be solved using some suitable method.
Using one such method:
Adding equation 1 to equation 2 yields
which implies
substituting in equation 1 yields
which implies
Checking in equation 2