Question

Solve 1/3x -3/4 = 5/12

Answer 1

We have to solve this equation:

`(1)/(3)x-(3)/(4)=(5)/(12)`

We can multiply the fractions when needed to make them have the same denominator.

Then, we can solve this as:

`\begin{gathered} (1)/(3)x-(3)/(4)=(5)/(12) \\ (1)/(3)x=(5)/(12)+(3)/(4) \\ (1)/(3)x=(5)/(12)+(3)/(4)\cdot(3)/(3) \\ (1)/(3)x=(5)/(12)+(9)/(12) \\ (1)/(3)x=(14)/(12) \\ x=3\cdot(14)/(12) \\ x=(14)/(4) \\ x=(7)/(2) \end{gathered}`

Answer: x = 7/2