Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
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The concept of systems of linear equations dates back to ancient civilizations such as Babylonians and Egyptians. However, the systematic study and formalization of solving systems of linear equations is attributed to the ancient Greek mathematician Euclid, who introduced the method of substitution and elimination in his work "Elements." Later mathematicians such as Gauss and Cramer made significant contributions to the theory and methods of solving systems of linear equations.
A single point, at which the lines intercept.
There are more than two methods, and of these, matrix inversion is probably the easiest for solving systems of linear equations in several unknowns.
You get no solution if the lines representing the graphs of both equations have the same slope, i.e. they're parallel. "No solution" is NOT an answer.
Because linear equations are based on algebra equal to each other whereas literal equations are based on solving for one variable.