Question

How do you solve \[5\dfrac{1}{2}+p=6\]?

Answer 1

Hint: From the question given, we have been asked to solve \[5\dfrac{1}{2}+p=6\].We can solve the given question by using some simple transformations. Some exact transformations are to be made to get the given equation from the given question solved.

Complete step-by-step solution:
From the question, we have been given that \[5\dfrac{1}{2}+p=6\]
As we have already discussed above, we have to use some exact and perfect transformations to be made for the above given equation to get the given equation solved.
Now, as of process,
To isolate \[p\], subtract \[5\dfrac{1}{2}\] on both sides of the given equation.
This is the exact transformation we have to make for the given equation to get the given equation solved.
By subtracting \[5\dfrac{1}{2}\] on both sides of the given equation, we get the given equation as,
\[5\dfrac{1}{2}+p=6\]
\[5\dfrac{1}{2}-5\dfrac{1}{2}+p=6-5\dfrac{1}{2}\]
By cancellation of the terms of opposite signs in the above equation, we get the above equation as,
\[p=6-5\dfrac{1}{2}\]
\[p=6-\dfrac{11}{2}\]
On furthermore simplifying the above equation, we get
\[p=\dfrac{1}{2}\]
Hence, the given equation is solved.
Therefore, we got the value of \[p=\dfrac{1}{2}\]
As we have already discussed above, we got the solution for the given equation by applying some exact transformations to the given equation.

Note: We should be very careful while doing the calculation part of the given equation. We should be well aware of solving linear equations. We should be well aware of the transformations that have to make for the given equation to get the equation solved. We should use the exact transformations which help to get the equation solved. This is a very simple question. No mistakes are generally possible similarly we can solve $5+x=6\Rightarrow x=1$ .