AlgebraEasy–MediumSystem of a horizontal and a vertical line
Algebra practice question
Consider the system of equations y = 5 and x = −2. Which of the following statements about the system is true?
- A. It has exactly one solution, (−2, 5).Correct
- B. It has no solution, because the lines are parallel.
- C. It has infinitely many solutions.
- D. It has exactly one solution, (5, −2).
Answer: A. It has exactly one solution, (−2, 5).
A horizontal line and a vertical line cross once, at x = −2, y = 5.
Why the other answers are wrong
- B. It has no solution, because the lines are parallel.
- The lines are perpendicular, not parallel.
- C. It has infinitely many solutions.
- Two different lines share at most one point.
- D. It has exactly one solution, (5, −2).
- The coordinates are in the wrong order.
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