A solution of the linear system is…
a list (s1, s2, …, sn) that makes each equation a true statement when the values s1, s2, etc are substituted for x1, x2, respectively.
A solution of a linear system is a set of values for the variables that satisfy all the equations in the system. In a system of two linear equations with two variables, the solution can be a single point in the coordinate plane where the two lines intersect. This point is the solution to both equations and represents the values of the variables that satisfy both equations.
In a system of three linear equations with three variables, the solution can be a point in three-dimensional space where all three planes intersect. This point represents the values of the three variables that satisfy all three equations.
A system of linear equations can have one unique solution, no solutions or infinitely many solutions, depending on the number and nature of the equations. There are various methods to solve a linear system, including substitution, elimination, and matrix methods.
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