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Algebra / Systems of two linear equations in two variables Difficulty: Easy
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The graph of a system of linear equations is shown. What is the solution (x,y) to the system?

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Explanation

Choice B is correct. If a point x,y lies on both lines in the graph of a system of two linear equations, the ordered pair x,y is a solution to the system. The graph shown is the graph of a system of two linear equations, where the two lines in the graph intersect at the point 3,4. Therefore, the point 3,4 lies on both lines, so the ordered pair 3,4 is the solution to the system.

Choice A is incorrect. The point 2,3 lies on one, not both, of the lines in the graph shown.

Choice C is incorrect. The point 4,5 lies on one, not both, of the lines in the graph shown.

Choice D is incorrect. The point 5,6 lies on one, not both, of the lines in the graph shown.