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In the same coordinate space, i.e. on the same set of axes:
-- Graph the first equation.
-- Graph the second equation.
-- Graph the third equation.
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-- Rinse and repeat for each equation in the system.
-- Visually examine the graphs to find the points (2-dimension graph) or lines (3-dimension graph)
where all of the individual graphs intersect.
Since those points or lines lie on the graph of each individual graph, they are
the solution to the entire system of equations.
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When solving a system of equations by graphing how is the solution found?
The solution is the coordinates of the point where the graphs of the equations intersect.
What are graphing method?
graphing method is when you graph two lines and then find the intersection which is the answer of the system of equations
In solving a system of two linear equations or two functions by graphing what is meant by if the system is consistent or inconsistent?
A system of linear equations is consistent if there is only one solution for the system. Thus, if you see that the drawn lines intersect, you can say that the system is consistent, and the point of intersection is the only solution for the system. A system of linear equations is inconsistent if it does not have any solution. Thus, if you see that the drawn lines are parallel, you can say that the system is inconsistent, and there is not any solution for the system.
What is the main disadvantage to graphing a system of equations?
The required solution may not be within the range that is plotted, and you would have to start all over again.
Describe a system of equations that would be better graphed using graphing technology?
no.
