A system of equations can only have 1 solution.

True

False

1 answer

False. A system of equations can have:

  1. One solution (the lines/planes intersect at a single point).
  2. No solution (the lines/planes are parallel or represent inconsistent equations).
  3. Infinitely many solutions (the lines/planes coincide).

Thus, it is not accurate to say that a system of equations can only have one solution.