Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a true statement. How should this be interpreted?

A. The system of equations is unsolvable.
B. The system of equations has no solution.
C. The system of equations has infinitely many solutions.
D. The system of equations has been solved incorrectly.

Question

Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a true statement. How should this be interpreted?

A. The system of equations is unsolvable. 
B. The system of equations has no solution. 
C. The system of equations has infinitely many solutions. 
D. The system of equations has been solved incorrectly.

anonymous · Answer

we had this once, remember? :)

0=0 is a true statement, with no variable

C. The system of equations has infinitely many solutions. it is true with no variable restrictions (hence we don't find a specific value for the variable)

anonymous · Answer

OH YEAH!!! XD Wait haven't you helped me before lol