Question

X/1- x/6 =x/4 + 7/1 what is the answer

Answer 1

Answer:

12

Step-by-step explanation:

As per the information provided in the question, We have :

• X/1- x/6 =x/4 + 7/1

We are asked to find the value of x.

In order to find the value of x, We will use Transposing method to simplify it.

$\begin{gathered} \longmapsto \rm \dfrac{x}{1} - \dfrac{x}{6} = \dfrac{x}{4} + \dfrac{7}{1} \end{gathered}$

This can be written as,

$\begin{gathered} \longmapsto \rm x - \dfrac{x}{6} = \dfrac{x}{4} + 7 \end{gathered}$

Taking LCM,

• LCM of 4,6 = 12

$\begin{gathered} \longmapsto \rm x \times 12 - \dfrac{x}{6} \times 12 = \dfrac{x}{4} \times 12 + 7 \times 12\end{gathered}$

$\begin{gathered} \longmapsto \rm x \times 12 - \dfrac{x}{ \cancel{6}} \times \cancel{12 } = \dfrac{x}{ \cancel{4}} \times \cancel{12} + 7 \times 12\end{gathered}$

$\begin{gathered} \longmapsto \rm x \times 12 - \dfrac{x}{1} \times 2 = \dfrac{x}{1} \times 3 + 84\end{gathered}$

$\begin{gathered} \longmapsto \rm 12x- {x}\times2 = x \times 3 + 84\end{gathered}$

$\begin{gathered} \longmapsto \rm 12x- 2x = 3x + 84\end{gathered}$

$\begin{gathered} \longmapsto \rm 10x = 3x + 84\end{gathered}$

$\begin{gathered} \longmapsto \rm 10x - 3x = 84\end{gathered}$

$\begin{gathered} \longmapsto \rm7x = 84\end{gathered}$

$\begin{gathered} \longmapsto \rm x = \cancel{\dfrac{84}{7}} \end{gathered}$

$\begin{gathered} \longmapsto \rm x = 12 \end{gathered}$

∴ The value of x is 12.