Advanced MathEasySolution of a parabola-and-horizontal-line system
Advanced Math practice question
Which of the following pairs (x, y) is a solution of the system y = x² and y = 4?
- A. (2, 4)Correct
- B. (4, 2)
- C. (4, 16)
- D. (2, 2)
Answer: A. (2, 4)
y must be 4, and x² = 4 gives x = 2 (or −2). (2, 4) works.
Why the other answers are wrong
- B. (4, 2)
- (4, 2) swaps the coordinates; 4² ≠ 2.
- C. (4, 16)
- (4, 16) is on y = x² but not on y = 4.
- D. (2, 2)
- (2, 2) is on neither: 2² ≠ 2 and 2 ≠ 4.
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