AlgebraEasyMeaning of a system's solution
Algebra practice question
A system of two linear equations in x and y has the solution (1, 2). Which of the following must be true?
- A. x = 1 and y = 2 satisfy both equations.Correct
- B. x = 1 and y = 2 satisfy only the first equation.
- C. The graphs of the two equations are parallel lines.
- D. x = 2 and y = 1 satisfy both equations.
Answer: A. x = 1 and y = 2 satisfy both equations.
A solution of a system satisfies every equation in it.
Why the other answers are wrong
- B. x = 1 and y = 2 satisfy only the first equation.
- A solution must satisfy both.
- C. The graphs of the two equations are parallel lines.
- Parallel lines would give no solution.
- D. x = 2 and y = 1 satisfy both equations.
- The coordinates are in the wrong order.
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