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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 C is correct. The solution to a system of linear equations is represented by the point that lies on the graph of each equation in the system, or the point where the lines intersect on a graph. On the graph shown, the two lines intersect at the point -4,-3. Therefore, the solution to the system is -4,-3.

Choice A is incorrect. This is the y-intercept of the graph of one of the lines shown, not the intersection point of the two lines.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.