A
B
C
D
Explanation
Correct answer: B.
Choice B is correct. It's given by the second equation in the system that . Substituting for in the first equation yields . Adding to both sides of this equation yields . Dividing both sides of this equation by yields . Therefore, since and , the solution to the given system of equations is .
Desmos solution:
Note: The regression finds the intersection point (7, 19); read the x and y values from the parameters.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.