What does it mean to solve an equation, have the variables cancel out, and have the answer be 3=3, fir example?

A. one solution
B. infinite solutions
C. no solution

1 answer

When solving an equation, if you simplify it and end up with a true statement like \(3 = 3\), it means that the original equation is an identity. This situation indicates that there are infinitely many solutions to the equation, as any value that satisfies the variable in the equation will make the equation true.

So in this case, the correct answer is B. infinite solutions.