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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Easy
The graphs of the equations in the given system of equations intersect at the point in the xy-plane. What is the value of ?
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Explanation
Choice D is correct. Since the graphs of the equations in the given system intersect at the point , the point represents a solution to the given system of equations. The first equation of the given system of equations states that . Substituting for in the second equation of the given system of equations yields , or . Therefore, the value of is .
Choice A is incorrect. This is the value of , not .
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.