Question

How do you solve $ - \dfrac{x}{4} = 12 $ ?

Answer 1

Hint: In order to determine the value of variable $ x $ in the above equation, we have to eliminate the coefficient from the variable $ x $ and to do so multiply the both sides of the equation with the reciprocal of coefficient of $ x $ i.e. $ \left( { - 4} \right) $ .Simplifying further will lead to your desired value of $ x $ .

Complete step-by-step answer:
We are given a linear equation in one variable $ - \dfrac{x}{4} = 12 $ .and we have to solve this equation for variable ( $ x $ ).
 $ \Rightarrow - \dfrac{x}{4} = 12 $ --(1)
As we can see to obtain the value of x , we have to remove the coefficient of variable $ x $ and to do so we will be multiplying both sides of the equation with the reciprocal of coefficient of $ x $ .
The coefficient of $ x $ is equal to $ - \dfrac{1}{4} $ so the reciprocal will be $ - 4 $ .
So multiplying both sides of equation (1) with the number $ \left( { - 4} \right) $ , we get
\[ \Rightarrow \left( { - 4} \right)\left( { - \dfrac{x}{4}} \right) = \left( { - 4} \right)\left( {12} \right)\]
Simplifying further, we get
\[ \Rightarrow x = - 48\]
Therefore, the solution to the linear equation $ - \dfrac{x}{4} = 12 $ is equal to \[x = - 48\].
So, the correct answer is “x = -48”.

Note: Linear Equation: A linear equation is a equation which can be represented in the form of $ ax + c $ where $ x $ is the unknown variable and a,c are the numbers known where $ a \ne 0 $ .If $ a = 0 $ then the equation will become constant value and will no more be a linear equation .
The degree of the variable in the linear equation is of the order 1.
Every Linear equation has 1 root.