sat suite question viewer
Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Easy
The graphs of the given equations intersect at the point in the xy-plane. What is the value of ?
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Explanation
Choice A is correct. It's given that the graphs of the given equations intersect at the point in the xy-plane. It follows that represents a solution to the system consisting of the given equations. The first equation given is . Substituting for in the second equation given, , yields , which is equivalent to , or . It follows that the graphs of the given equations intersect at the point . Therefore, the value of is .
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.