SP8558 LINQSOLV - Linear Equation Solver

Given a system of linear equations, print the solution of that system.

Input starts with a positive integer t

For each testcase print all variables of the linear system in alphabetical order together with the associated value as an integer or a fraction in lowest terms respectively. Print a blank line between testcases. For exact notation see example below. All (interim) results will fit into 64-bit, if algorithm is implemented properly. You can assume that all linear systems have an unique solution.