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You see the point the two lines cross, if they do. This is the solution to the system since it is the values of (x,y) that are on both lines The solution is a sytems is those points, if any, (x,y) that satisfy both equations. That is the same as saying they are on both lines. If you graph the equations, this is the same as saying the points that are in the intersection of the lines. This is why parallel lines represent a system with no solution and if two equations are the same line there is an infinite number of solutions.

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Q: How does graphing a linear system help you verify the results of solving a linear system algebraically?
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Related questions

Why is it the graphing method is the least reliable method in solving system of linear equations?

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What is the advantages or disadvantages of solving system of linear equation by graphing?

The advantage of solving a system of linear equations by graphing is that it is relatively easy to do and requires very little algebra. The main disadvantage is that your answer will be approximate due to having to read the answer from a graph. Where the solution are integer values, this might be alright, but if you are looking for an accurate decimal answer, this might not be able to be achieved. Another disadvantage to solving linear equations by graphing is that at most you can have two unknown variables (assuming that you are drawing the graph by hand).


How is graphing a linear equality different from graphing linear equation?

They are the same.


How is graphing a linear inequality the same as graphing a linear equality?

Because the question is tautological. You are asking how something is the same as that very samne thing!


What is the disadvantage of using the substitution method in solving linear equations rather than the graph method?

There are no disadvantages. There are three main ways to solve linear equations which are: substitution, graphing, and elimination. The method that is most appropriate can be found by looking at the equation.


What is linear graphing?

a linear graph is a graph where the line is ongoing and doesn't change directions


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By finding something who's behavior is represented by a linear function and graphing it.


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In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it


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