AlgebraVery hardValue of a constant for infinitely many solutions
Algebra practice question
The system 5x − 2y = 10 and kx − 6y = 30 has infinitely many solutions. What is the value of k?
- A. 15Correct
- B. 5
- C. 3
- D. −15
Answer: A. 15
Tripling the first equation gives 15x − 6y = 30, which must match the second, so k = 15.
Why the other answers are wrong
- B. 5
- 5 keeps the first equation's coefficient without scaling by 3.
- C. 3
- 3 is the scale factor, not k.
- D. −15
- −15 has the wrong sign.
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