Answer
384.6k+ views
Hint: The equation given in the above question is a linear equation in one variable, that is x. The question says that we have to solve the given equation in x. In other words, we have to find the values of x which will satisfy the given equation. Try to find the value of x by performing some mathematical operations.
Complete step-by-step solution:
The given equation says that $5x+1=21$.
Let us analyse the above linear equation in x and try to simplify it and find the value of x.
The first thing that we can do here is to club the terms that are multiple of x on one side of the equation (say the left hand side) and then club the constant terms on the right hand side of the equation.
If we do the above process, then we get that the above equation changes to $5x=21-1$
If we simplify the equation, then we get that $5x=20$ …. (i)
Next, we can divide the equation (i) by 5 (on both the sides) so that the coefficient of x becomes 1.
With this, we get that $\dfrac{5x}{5}=\dfrac{20}{5}$
$\Rightarrow x=4$.
This means that the value of x that satisfies the given equation is 4.
Hence, the solution of the equation $5x+1=21$ is $x=4$
Note: There are many ways in which we can solve this question. We can also divide the equation by 5 and then club the x terms on one side and the constant terms on the other. However, students must note that the number of solutions to a given equation in one variable is always less than or equal to the degree of the polynomial in the given equation.
Complete step-by-step solution:
The given equation says that $5x+1=21$.
Let us analyse the above linear equation in x and try to simplify it and find the value of x.
The first thing that we can do here is to club the terms that are multiple of x on one side of the equation (say the left hand side) and then club the constant terms on the right hand side of the equation.
If we do the above process, then we get that the above equation changes to $5x=21-1$
If we simplify the equation, then we get that $5x=20$ …. (i)
Next, we can divide the equation (i) by 5 (on both the sides) so that the coefficient of x becomes 1.
With this, we get that $\dfrac{5x}{5}=\dfrac{20}{5}$
$\Rightarrow x=4$.
This means that the value of x that satisfies the given equation is 4.
Hence, the solution of the equation $5x+1=21$ is $x=4$
Note: There are many ways in which we can solve this question. We can also divide the equation by 5 and then club the x terms on one side and the constant terms on the other. However, students must note that the number of solutions to a given equation in one variable is always less than or equal to the degree of the polynomial in the given equation.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)