![]() A listing of individual items that make up a package is provided on the package item's product detail page along with real-time item availability of those items. The equations of a linear system are independent if none of the equations can be derived algebraically from the others.A "package" is made up of two or more items sold as a set, often for a reduced price. It is possible for a system of two equations and two unknowns to have no solution (if the two lines are parallel), or for a system of three equations and two unknowns to be solvable (if the three lines intersect at a single point).Ī system of linear equations behave differently from the general case if the equations are linearly dependent, or if it is inconsistent and has no more equations than unknowns. It must be kept in mind that the pictures above show only the most common case (the general case). The third system has no solutions, since the three lines share no common point. The second system has a single unique solution, namely the intersection of the two lines. The first system has infinitely many solutions, namely all of the points on the blue line. The following pictures illustrate this trichotomy in the case of two variables: In the first case, the dimension of the solution set is, in general, equal to n − m, where n is the number of variables and m is the number of equations. ![]() Such a system is also known as an overdetermined system.
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