Answer

Verified

339.3k+ views

**Hint**: In order to solve this type of linear equation in one variable, first send all the constants to the right hand side and variables to the left hand side of the equation with the help of algebraic operations and then divide both the sides with the coefficient of the variable to get the desired solution for the equation.

**:**

__Complete step-by-step answer__To solve the given equation $ 3x - \dfrac{1}{3} = 5 $ , we will first send all the variables to the left hand side (L.H.S.) of the equation and constants to the right hand side of the equation (R.H.S.), so we can see that in the given equation $ 3x - \dfrac{1}{3} = 5 $ , we have to send only one constant from the left hand side to the right hand side, for this we will add both sides $ \dfrac{1}{3} $ , we will get

$

\Rightarrow 3x - \dfrac{1}{3} = 5 \\

\Rightarrow 3x - \dfrac{1}{3} + \dfrac{1}{3} = 5 + \dfrac{1}{3} \\

\Rightarrow 3x = 5 + \dfrac{1}{3} \;

$

Now taking L.C.M. in order to add \[5\;{\text{and}}\;\dfrac{1}{3}\]

$

\Rightarrow 3x = 5 + \dfrac{1}{3} \\

\Rightarrow 3x = \dfrac{{5 \times 3 + 1}}{3} \\

\Rightarrow 3x = \dfrac{{16}}{3} \;

$

Dividing both sides with the coefficient of $ x $ that is $ 3 $ to get the value for $ x $

$

\Rightarrow 3x = \dfrac{{16}}{3} \\

\Rightarrow \dfrac{{3x}}{3} = \dfrac{{16}}{{3 \times 3}} \\

\Rightarrow x = \dfrac{{16}}{9} \;

$

Therefore $ x = \dfrac{{16}}{9} $ is the required solution for the equation $ 3x - \dfrac{1}{3} = 5 $

**So, the correct answer is “ $ x = \dfrac{{16}}{9} $ ”.**

**Note**: The final result is in improper fraction, which means the numerical value of the numerator is greater than the numerical value of the denominator. So either convert the result into mixed fraction or write it in decimal form with the help of long division method.

Recently Updated Pages

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Find the values of other five trigonometric ratios class 10 maths CBSE

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Difference Between Plant Cell and Animal Cell

Which places in India experience sunrise first and class 9 social science CBSE

The list which includes subjects of national importance class 10 social science CBSE

What is pollution? How many types of pollution? Define it

State the laws of reflection of light