Final answer:
The student needs assistance with solving systems of linear equations using Inverse Matrix Method, Gauss-Jordan Elimination, and Cramer's Rule, all of which require careful computation and verification of each step.
Step-by-step explanation:
The student has asked to solve systems of linear equations using different methods: the Inverse Matrix Method, the Gauss-Jordan Elimination, and Cramer's Rule. When solving simultaneous equations, it is important to understand that this may involve many algebraic steps that require careful checking and rechecking. For each method, the set of equations forms a matrix whose inverse can be found, or elimination techniques can be applied, or determinants can be calculated, respectively. This process leads to finding the values of the unknown variables involved.
It's crucial to first confirm that the matrix has an inverse, that the system of equations has a unique solution (for Cramer's Rule), and to carry out the computations with precision. The successful solution of these systems of equations demonstrates the interconnectedness of mathematical concepts and their applications in problem-solving.