
How do you solve $- 11b + 7 = 40$?
Answer
444.3k+ views
Hint: The given expression is an equation. Here, the ‘ $=$ ‘ sign is used to show that the left-hand side is equal to the right-hand side for some value of $b$ . So, to solve the equation, we have to find the value of the variable which is represented as $b$ .
Complete step by step answer:
We need to solve the given equation,
$- 11b + 7 = 40$
First of all, the above expression is called an equation, because in it the equal sign ‘ $=$ ‘ is used, which shows that the two expressions are equal.
In an equation, there is a left-hand side, an equal sign ‘ $=$ ‘, and a right-hand side.
Also, the given equation contains a variable, whose value is to be determined to solve the given equation.
Consider the equation,
$- 11b + 7 = 40$
To solve the above equation, we first subtract $7$ on both sides,
$\Rightarrow - 11b + 7 - 7 = 40 - 7$
$\Rightarrow - 11b = 33$
Now, dividing both sides by the coefficient of $b$ which is $- 11$ , we get
$\Rightarrow \dfrac{{ - 11b}}{{ - 11}} = \dfrac{{33}}{{ - 11}}$
$\Rightarrow b = - 3$ .
Thus, we can say that for the equation $- 11b + 7 = 40$ , the solution is $b = - 3$ .
Note: In the given equation, the variable is $b$ . The equation $- 11b + 7 = 40$ also contains a constant, which is a value that does not change. $- 11$ is the coefficient of $b$ .
In Algebra, we use letters to represent unknown numbers. This way it becomes easier to solve the problems and to obtain the value of unknown numbers. The unknown number that is represented by a letter is called the variable. Variable is a letter that is used to indicate a value that varies.
Complete step by step answer:
We need to solve the given equation,
$- 11b + 7 = 40$
First of all, the above expression is called an equation, because in it the equal sign ‘ $=$ ‘ is used, which shows that the two expressions are equal.
In an equation, there is a left-hand side, an equal sign ‘ $=$ ‘, and a right-hand side.
Also, the given equation contains a variable, whose value is to be determined to solve the given equation.
Consider the equation,
$- 11b + 7 = 40$
To solve the above equation, we first subtract $7$ on both sides,
$\Rightarrow - 11b + 7 - 7 = 40 - 7$
$\Rightarrow - 11b = 33$
Now, dividing both sides by the coefficient of $b$ which is $- 11$ , we get
$\Rightarrow \dfrac{{ - 11b}}{{ - 11}} = \dfrac{{33}}{{ - 11}}$
$\Rightarrow b = - 3$ .
Thus, we can say that for the equation $- 11b + 7 = 40$ , the solution is $b = - 3$ .
Note: In the given equation, the variable is $b$ . The equation $- 11b + 7 = 40$ also contains a constant, which is a value that does not change. $- 11$ is the coefficient of $b$ .
In Algebra, we use letters to represent unknown numbers. This way it becomes easier to solve the problems and to obtain the value of unknown numbers. The unknown number that is represented by a letter is called the variable. Variable is a letter that is used to indicate a value that varies.
Recently Updated Pages
What percentage of the area in India is covered by class 10 social science CBSE

The area of a 6m wide road outside a garden in all class 10 maths CBSE

What is the electric flux through a cube of side 1 class 10 physics CBSE

If one root of x2 x k 0 maybe the square of the other class 10 maths CBSE

The radius and height of a cylinder are in the ratio class 10 maths CBSE

An almirah is sold for 5400 Rs after allowing a discount class 10 maths CBSE

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

Why is there a time difference of about 5 hours between class 10 social science CBSE

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

Write a letter to the principal requesting him to grant class 10 english CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

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