Solve the given expression to obtain the value of x:
$\dfrac{{2x + 7}}{3} = \left( {x + 4} \right)$
Answer
381k+ views
Hint – In this question we need to solve for the value of x, use cross multiplication along with a simple simplification technique to solve the given equation for the value of x.
Complete step-by-step answer:
Given equation is
$\dfrac{{2x + 7}}{3} = \left( {x + 4} \right)$
Now the given equation is also written as
$\dfrac{{2x + 7}}{3} = \dfrac{{x + 4}}{1}$
Now apply cross multiplication method (i.e. (2x + 1) is multiplied by 1 and (x + 4) is multiplied by 3)
$ \Rightarrow 1\left( {2x + 7} \right) = 3\left( {x + 4} \right)$
Now simplify the above equation we have,
$ \Rightarrow 2x + 7 = 3x + 12$
Now shifting the variables i.e. 3x to L.H.S and 7 to R.H.S we have
$ \Rightarrow 2x - 3x = 12 - 7$
$ \Rightarrow - x = 5$
Now multiply by -1 we have,
$ \Rightarrow x = - 5$
So, this is the required solution of the given equation.
So, this is the required answer.
Note – Whenever we face such types of problems the key concept is simply to use basic techniques of cross multiplication and subtraction of terms with the same variables. This concept will help you get on the right track to reach the answer.
Complete step-by-step answer:
Given equation is
$\dfrac{{2x + 7}}{3} = \left( {x + 4} \right)$
Now the given equation is also written as
$\dfrac{{2x + 7}}{3} = \dfrac{{x + 4}}{1}$
Now apply cross multiplication method (i.e. (2x + 1) is multiplied by 1 and (x + 4) is multiplied by 3)
$ \Rightarrow 1\left( {2x + 7} \right) = 3\left( {x + 4} \right)$
Now simplify the above equation we have,
$ \Rightarrow 2x + 7 = 3x + 12$
Now shifting the variables i.e. 3x to L.H.S and 7 to R.H.S we have
$ \Rightarrow 2x - 3x = 12 - 7$
$ \Rightarrow - x = 5$
Now multiply by -1 we have,
$ \Rightarrow x = - 5$
So, this is the required solution of the given equation.
So, this is the required answer.
Note – Whenever we face such types of problems the key concept is simply to use basic techniques of cross multiplication and subtraction of terms with the same variables. This concept will help you get on the right track to reach the answer.
Recently Updated Pages
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

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

Trending doubts
What is 1 divided by 0 class 8 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

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

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

Why do noble gases have positive electron gain enthalpy class 11 chemistry CBSE

How fast is 60 miles per hour in kilometres per ho class 10 maths CBSE

Write an application to the principal requesting five class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers
