Solution set
from class: College Algebra Definition A solution set is the set of all possible values that satisfy a given equation or system of equations. It represents all the solutions that make the equation(s) true.
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Predict what's on your test 5 Must Know Facts For Your Next Test For a linear equation in one variable, the solution set typically contains one value unless the equation has no solution or infinitely many solutions. In a system of linear equations with three variables, the solution set can be a single point, a line, a plane, or empty. To find the solution set of a system of equations, methods such as substitution, elimination, and matrix operations can be used. The consistency and dependency of a system determine whether its solution set is unique, infinite, or nonexistent. Graphical representation can help visualize the solution set for systems of equations. Review Questions What does it mean if an equation's solution set is empty? How do you determine the solution set for a linear equation in one variable? What are some methods to find the solution set for a system of three linear equations? "Solution set" also found in:
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