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A system of linear equations is a collection of linear equations. The equations are all to be considered at the same time. Systems of equations are used to solve problems in which there are a couple of constraints, and there are certain numerical values that satisfy those constraints.
As an example,
is a system of equations that has two variables and The solution to a linear system is an assignment of numbers to the variables that satisfy every equation in the system. In the example above, there is one solution: When the equations are graphed, the lines intersect at the solution.