Question

How do you solve 3/4x-9=27

Answer 1

x = 48

Step-by-step explanation

To solve this equation:

`(3)/(4)x-9=27`

First we have to leave only the term that contains 'x' on one side of the equation. To do this we have to add 9 on both sides of the equation:

`\begin{gathered} (3)/(4)x-9+9=27+9 \\ (3)/(4)x=36 \end{gathered}`

Now we have to multiply both sides by 4 and divide both sides by 3 - in other words, multiply both side sby 4/3:

`\begin{gathered} (3)/(4)\cdot(4)/(3)x=36\cdot(4)/(3) \\ x=(36)/(3)\cdot4 \\ x=12\cdot4 \\ x=48 \end{gathered}`