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A system of equations is graphed on the set of axes below

A system of equations is graphed on the set of axes below-example-1

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You have to determine the solution of the equation system by looking at the graph.

For any equation system there are three possible scenarions, that the system has "no solution", that the system has "infinite solutions" and that the system has "one solution"

Looking at the graph you can determine which situation if:

- both lines are parallel, they never meet, which indicates that the system has no solution.

- both lines are superimposed, i.e. they seem as if there is only one line, the system has infinite solutions.

- both lines cross at one point, this indicates that the system has only one solution and the solution will be the point where the lines intersect.

In the given graph, the lines cross at one point, which means that the system has one solution. To determine said solution you have to read the x and y coordinates of the point in the grid.

The lines meet at x=4 and y=2, which means that the solution of this system is a

User Shruthi Bhaskar
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