Solve:
4
x−y
+ 1
x+y
= 3 ; 2
x−y
-
3
x+y
= 5
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Step-by-step explanation:
Statement 1:
Multiply both sides by 3 to get:
Rewrite as:
There are several values of x and y that satisfy the above equation. Here are two:
Case a: x = 1 and y = 1. In this case, the answer to the target question is YES, x EQUALS y
Case b: x = 3 and y = 5. In this case, the answer to the target question is NO, x does NO equal y
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2:
Multiply both sides by 4 to get:
Add y to both sides to get:
PERFECT! The answer to the target question is YES, x EQUALS y
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: B
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