# How do you interpret the solution of a system of equations by the corresponding graph?

1. How do you interpret the solution of a system of equations by the corresponding graph? Please provide example.

2. What is the situation when two linear inequalities have no solution?

3. What are the conditions when the solution of a system of linear inequalities will be in the first quadrant?

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#### Solution Preview

Please see the graphs and detailed solution in the attached file.

1. Lets look at the equation

x + y = 7

Its graph is the collection of points in the plane whose x and y coordinated have a sum of 7. Thus (3,4) is on the graph since 3 + 4 = 7, and (3,6) is not on the graph since 3 + 6 is not 7. We say that a point "satisfies" the equation if, after substituting ...

#### Solution Summary

The solution is comprised of detailed interpretation of the solution of the system of equation by the corresponding graphs.