A
B
C
D
Explanation
Correct answer: D.
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 .
Desmos solution:
Note: Graph both equations and look at the intersection point.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the value of , not .
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.