In the process of solving an equation, a student noticed that only integers remained on each side of the equation. The student concluded that
the equation must have no solution. Is the student correct? Explain.
A. The student is correct. When variables are eliminated from an equation, the equation must have no solution
B. The student is incorrect. When variables are eliminated from an equation, the equation must be an identity and therefore has
infinitely many solutions.
C
The student is correct. When variables are eliminated from an equation, the equation must be an identity and therefore has infinitely
many solutions.
D. The student is not necessarily correct. The integers on each side of the equation could be equal, so the equation has infinitely many
solutions
