2. 外语
  3. If y = 2x+1, what is the value of y-x ? (1) 22x+2 = 64 (2) y=22x-1

If y = 2x+1, what is the value of y-x ? (1) 22x+2 = 64 (2) y=22x-1

admin2022-10-18  19
问题 If y = 2x+1, what is the value of y-x ?
(1) 22x+2 = 64
(2) y=22x-1
选项 A、Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B、Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C、BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient.
E、Statements (1) and (2) TOGETHER are NOT sufficient.
答案D
解析 1. Given that 22x+2= 64 = 26, it follows that 2x + 2 = 6. Therefore, x = 2 and y-x = 22+1-2 = 6; SUFFICIENT.
2. From the given information we have y = 2x+1 and from (2) we have y = 22x-1. Therefore, 2x+1 = 22x-1, and hence x + 1 = 2x - 1. Solving for x gives x = 2, and thus y - x = 22+1 - 2 = 6; SUFFICIENT.
The correct answer is D;
each statement alone is sufficient.
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