Answer

Verified

341.1k+ 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.

Recently Updated Pages

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

How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE

Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE

What are the possible quantum number for the last outermost class 11 chemistry CBSE

Is C2 paramagnetic or diamagnetic class 11 chemistry CBSE

What happens when entropy reaches maximum class 11 chemistry JEE_Main

Trending doubts

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

Why is the adrenaline hormone called fight or flight class 11 biology CBSE

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

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Differentiate between lanthanoids and actinoids class 12 chemistry CBSE

What is the color of ferrous sulphate crystals? How does this color change after heating? Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this type of change.

Give 10 examples of unisexual and bisexual flowers

Open circulatory system is present in I Arthropods class 12 biology CBSE

Name the highest peak of the Indian Himalayas class 8 social science CBSE