Solutions of Linear Systems
A system of linear equations can have zero, one, or infinitely many solutions. For two variables, they are represented graphically as parallel lines, intersecting lines, or lines that coincide. For three variables, they are represented as intersections of planes.
Graphing Systems of Linear Equations
The solution of a system of linear equations can be estimated from a graph and then confirmed by substituting the values into the equations.
Substitution
A system of linear equations can be solved by solving an equation for one variable and substituting the resulting expression in the other equation (s).
Elimination
Equations in a system can be added, subtracted, and/or multiplied by a nonzero constant in order to eliminate a variable.
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