16Hit1600
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?

  1. A. 15Correct
  2. B. 5
  3. C. 3
  4. 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.

More Algebra questions

Not affiliated with the College Board. SAT is a trademark of the College Board.