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      Sometimes when one solves a first-degree equation in one variabIe, one finds exactly one solution. This is not a surprise.

      Sometimes a first-degree linear equation has no solution or the equation has all real numbers as its solution. These situations often come as a surprise to the solver.

 

a.) How can an algebra student tell when the solution to an equation is "no solution?"

 

b.) How can one tell when the solution is "all real numbers?"