![]() ![]() If the graphs of the equations intersect, then there is one solution that is true for both equations. Each shows two lines that make up a system of equations. The graphs of equations within a system can tell you how many solutions exist for that system. There are three possible outcomes for solutions to systems of linear equations. Recall that the solution for a system of equations is the value or values that are true for all equations in the system. Three possible outcomes for solutions to systems of equations ![]() ![]() In this section, we will explore some basic principles for graphing and describing the intersection of two lines that make up a system of equations. Accidents, time of day, and major sporting events are just a few of the other variables that can affect the flow of traffic in a city. It is rare to find, for example, a pattern of traffic flow that that is only affected by weather. They are a useful tool for discovering and describing how behaviors or processes are interrelated. You will find systems of equations in every application of mathematics. A system of linear equations can help with that.Ī system of linear equations consists of two or more linear equations made up of two or more variables such that all equations in the system are considered simultaneously. If you want to best describe its flow, you must take into account these other variables. The way a river flows depends on many variables including how big the river is, how much water it contains, what sorts of things are floating in the river, whether or not it is raining, and so forth. Identify what type of solution a system will have based on its graph.Determine whether an ordered pair is a solution to a system of linear inequalities.Determine whether an ordered pair is a solution to a system of linear equations.Evaluate ordered pairs as solutions to systems.Graph a system of two linear inequalities. ![]()
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