AlgebraEasyTwo equations for the same line
Algebra practice question
The two equations in a system are y = 2x + 1 and 2y = 4x + 2. How many solutions does the system have?
- A. Infinitely many, because both equations describe the same lineCorrect
- B. None
- C. Exactly one
- D. Exactly two
Answer: A. Infinitely many, because both equations describe the same line
Dividing the second equation by 2 gives the first; every point on the line satisfies both.
Why the other answers are wrong
- B. None
- No solutions would need parallel, distinct lines.
- C. Exactly one
- One solution would need two lines that cross.
- D. Exactly two
- Two lines never share exactly two points.
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