Answer:
1/12 goes in the blank
Step-by-step explanation:
For there to be infinitely many solutions, the left and right sides must be identical when simplified.
x -1/4 = 3(1/3x - __) . . . . divide by 2
x -1/4 = x -3(__) . . . . . . . eliminate parentheses
-1/4 = -3(__) . . . . . . . . . subtract x
1 = 12(__) . . . . . . . . . . . multiply by -4
1/12 = __ . . . . . . . . . . divide by 12
The equation with infinitely many solutions is ...
2(x -1/4) = 6(1/3x - 1/12 )
