Write down an algorithm that checks if a system of x linear equations in y unknowns has a solution or not.  Full explain this question and text typing work only

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter4: Selection Structures
Section: Chapter Questions
Problem 14PP
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.Write down an algorithm that checks if a system of x linear equations in y unknowns has a solution or not. 

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