= 76 y = −5 y x^2 The graphs of the given equations in the xy-plane (x,y) intersect at the point. What is a possible value of x? −
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice B is correct. Since the point ^x,yh is an intersection point of the graphs of the given equations in the xy-plane, the pair ^x,yh should satisfy both equations, =76 and thus is a solution of the given system. According to the first equation, y . 76 2-5=76 Substituting in place of y in the second equation yields x . Adding 5 2=81 to both sides of this equation yields x . Taking the square root of both sides = =- of this equation yields two solutions: x 9 and x 9. Of these two solutions, - only 9 is given as a choice. Choice A 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. This is the value of coordinate y, rather than x, of the intersection point ^x,yh.
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