AlgebraEasy–MediumIdentifying the system with a given solution
Algebra practice question
Which of the following systems of equations has the solution (x, y) = (−1, 3)?
- A. x + y = 2 and 2x − y = −5Correct
- B. x + y = 2 and x − y = 4
- C. x − y = 2 and 2x + y = 1
- D. 2x + y = 1 and x + y = 4
Answer: A. x + y = 2 and 2x − y = −5
Check (−1, 3): −1 + 3 = 2 ✓ and 2(−1) − 3 = −5 ✓.
Why the other answers are wrong
- B. x + y = 2 and x − y = 4
- x − y = −4, not 4.
- C. x − y = 2 and 2x + y = 1
- x − y = −4, not 2.
- D. 2x + y = 1 and x + y = 4
- x + y = 2, not 4.
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