Transcript Difficulty: Hard If x + 2x is 5 more than y + 2y, then x – y = a) -5 b)  5 c)

Difficulty: Hard
If x + 2x is 5 more than y + 2y, then x – y =
a) -5
b)  5
3
c) 3
5
d) 5 e) 5
3
Hint
The first step in solving this problem is to translate the given statement into a mathematical
equation. Then you can use algebra to find the value of x – y
D:
Explanation
The statement given in words translates into the equation x + 2x = y + 2y + 5.
This simplifies to 3x = 3y + 5. Then 3x – 3y = 5, and so 3(x – y) = 5.
It follows that x – y =