Which of the equations shown have infinitely many solutions?
Select all that apply.
A. 3x – 1 = 3x + 1
B. 2x – 1 = 1 – 2x
C. 3x – 2 = 2x – 3
D. 3(x – 1) = 3x – 3
E. 2x + 2 = 2(x + 1)
F. 3(x – 2) = 2(x – 3)
If after simplifying, your variable drops out and ...
1. you end up with a true statement, you will have an infinite number of solutions
2. you end up with a false statement, you will have no solution
How does that fit in with your question?
e.g. What happens in A and what happens in D ?