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A constraint is a limitation on the possible values of variables in a model. It is often expressed by an equation or inequality or by specifying that the value must be an integer.
For example, distance above the ground \(d\), in meters, might be constrained to be non-negative, expressed by \(d \ge 0\).
Elimination is a method of solving a system of two equations in two variables. A multiple of one equation is added to or subtracted from another to get an equation with only one of the variables. (The other variable is eliminated.)
A model is a mathematical or statistical representation of information from science, technology, engineering, work, or everyday life, that is used to understand the situation and make decisions.
A solution to a system of equations is the values for the variables that make all the equations true.
This graph shows a system of two equations. The solution of the system is a coordinate pair that makes both equations true. On the graph, the solution is shown as the point where the two lines intersect.
Substitution is the action of replacing a variable with a number or expression it is equal to.