Question

While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is________________. one solution, infinitely many solutions, no solution

Answer 1

Infinitely many solutions.

Explanation: when the variable terms cancel and you end up with a true statement (like 0 = 0), the equation is an identity — every value of the variable satisfies it. Example: 2(x+1)=2x+2 → 0=0, so infinitely many solutions.