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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Easy
The graph of a system of an absolute value function and a linear function is shown. What is the solution to this system of two equations?
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Explanation
Choice C is correct. The solution to the system of two equations corresponds to the point where the graphs of the equations intersect. The graphs of the linear function and the absolute value function shown intersect at the point . Thus, the solution to the system is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect. This is the y-intercept of the graph of the linear function.
Choice D is incorrect. This is the vertex of the graph of the absolute value function.