Explanation
Correct answer: A.
Choice A is correct. It's given that the sum of a number and is twice as large as a number . This can be described by the equation . It's also given that the number is less than the number . This can be described by the equation . Therefore, the system consisting of the equations and describes this situation.
Desmos solution:
Note: Translate “twice as large” as x+7=2y and “3 less” as y=x-3.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect. The equation describes a situation where the number is less than .
Choice C
Choice C is incorrect. The equation describes a situation where the number is twice the sum of a number and .
Choice D
Choice D is incorrect. The equation describes a situation where the number is twice the sum of a number and , and the equation describes a situation where a number is less than .