sat suite question viewer
Algebra
/ Systems of two linear equations in two variables
Difficulty: Easy
The graph of a system of linear equations is shown. The solution to the system is . What is the value of ?
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Explanation
The correct answer is . A solution to a system of equations must satisfy each equation in the system. It follows that if is a solution to the system, the point lies on the graph in the xy-plane of each equation in the system. According to the graph, the point that lies on the graph of each equation in the system is . Therefore, the solution to the system is . It follows that the value of is .