# Solve the following linear equation:

7n + 49 = 497

Last updated date: 29th Mar 2023

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Answer

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Hint: This is a question of linear equation in one variable and we know that linear equations in one variable are those equations which can be written in the form ax+b=0 as you can see in this question but going back to the basics, equation is a combination of constants, variables and operators. So coming back to this question we find out that we are given a constant, variable and operator and this equation is in the form ax+b=0 so we can say this is a linear equation in one variable. Also we can solve this using a simple method involving simple operations of subtraction and division.

Complete step-by-step answer:

Given that:

$\Rightarrow$ 7n + 49 = 497

$\Rightarrow$ 7n = 497 - 49

$\Rightarrow$ 7n = 448

$\Rightarrow$ n = $\dfrac{{448}}{7}$

$\Rightarrow$ n = 64

therefore n = 64

Note: In this question it is to be noted that we have to deal with the basics of linear equations, we should know that what is a linear equation in one variable, a linear equation in one variable means we only deal with one variable and it can be written the form ax+b=0 as we can see in the question. Now here x represents a variable and a and b are real numbers. Also we should know what is an equation. An equation basically is the combination of variables, constant and operators. Like in this equation given us in the question. Now coming back to this question we can see the operations done in the equation involve subtraction and division by these basic operations we can solve the question.

Complete step-by-step answer:

Given that:

$\Rightarrow$ 7n + 49 = 497

$\Rightarrow$ 7n = 497 - 49

$\Rightarrow$ 7n = 448

$\Rightarrow$ n = $\dfrac{{448}}{7}$

$\Rightarrow$ n = 64

therefore n = 64

Note: In this question it is to be noted that we have to deal with the basics of linear equations, we should know that what is a linear equation in one variable, a linear equation in one variable means we only deal with one variable and it can be written the form ax+b=0 as we can see in the question. Now here x represents a variable and a and b are real numbers. Also we should know what is an equation. An equation basically is the combination of variables, constant and operators. Like in this equation given us in the question. Now coming back to this question we can see the operations done in the equation involve subtraction and division by these basic operations we can solve the question.

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