AlgebraEasyChecking which pair solves both equations
Algebra practice question
Which ordered pair (x, y) is the solution to the system x + y = 6 and x − y = 2?
- A. (4, 2)Correct
- B. (2, 4)
- C. (6, 0)
- D. (3, 3)
Answer: A. (4, 2)
Adding the equations gives 2x = 8, so x = 4 and y = 2. Check: 4 + 2 = 6 and 4 − 2 = 2.
Why the other answers are wrong
- B. (2, 4)
- (2, 4) satisfies the first equation but gives 2 − 4 = −2, not 2.
- C. (6, 0)
- (6, 0) gives 6 − 0 = 6, not 2.
- D. (3, 3)
- (3, 3) gives 3 − 3 = 0, not 2.
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