Question
Question: How do you solve \[2n - 5 = 7?\]...
How do you solve 2n−5=7?
Solution
We separate the variables and the constants of the equation 2n−5=7. For these kinds of questions generally we multiply the constants. Then we apply the binary operation of addition and subtraction for both variables and constants. The solutions of the variables and the constants will be added at the end to get the final answer to equate with 0. Then we solve the linear equation to find the value of n. Sometimes in these questions we find x instead of n.
So, then according to these questions we have to change the n into x.
The given equation 2n−5=7 is a linear equation of n. We need to simplify the equation
by keeping all the constants in one side and the variable in another side of the equal sign.
All the terms in the equation of 2n−5=7 are either variable of n or a constant.
So, 2n−5=7.
The equation becomes 2n=7+5
We take all the variables and the constants on one side and get 2n=7+5.
The binary operation between them is addition which gives us n=(7+5)/2.
The final solution becomes
n=(7+5)/2
Or,
n = 12/2
n = 6
Therefore, the solution is n=6.
This is the right answer.
Note: We can verify the result of the equation 2n−5=7 by taking the value of n as n=6.
Thus, verified for the equation 2n−5=7 the solution is n=6.
To solve these kinds of questions we have to carefully follow the BODMAS rules also.