Question

luisa concludes that 0 is the only solution for x. is luisas conclusion correct? why or why not? a luisas conclusion is correct because 0 = 0 in step 5 shows that the answer equals 0. b luisas conclusion is incorrect because 0 = 0 in step 5 means that there are infinitely many solutions. c luisas conclusion is incorrect because 0 = 0 in step 5 indicates that there are no real solutions.

Explanation:

When solving an equation and ending up with a statement like 0 = 0 after simplification, it means that the original equation is an identity. An identity is true for all real - values of the variable, indicating infinitely many solutions. Luisa concluded that 0 is the only solution, which is incorrect as 0 = 0 implies all real numbers are solutions.

Answer:

C. Luisa’s conclusion is incorrect because 0 = 0 in Step 5 means that there are infinitely many solutions.