Question

Complete this equation so that it has infinitely many solutions.

2(X-1/4)=6(1/3x-_____)

Answer 1

1/12 goes in the blank

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 )