Question

What is the answer to \[3+p=8\]?

Answer 1

Hint: We are given a linear equation with a single variable which is a binomial. In order to find the value of \[p\], we can simply let the variable be on the left hand side of the equation and transpose the constant terms to the right hand side of the equation and then simplify the terms according to the mathematical signs.

Complete step by step answer:
Now, let us have a look regarding linear equations in one variable. The general form of a linear equation is \[ax+b=c\], where \[a\] and \[b\] are constant terms and \[x\] is a variable term. Generally, the linear equation in a variable is a line equation which gives us a straight line upon plotting. The equation’s condition would only be true if the value of the equation satisfies the condition. Linear equations will have only one solution that satisfies the condition.
Now let us solve the given equation, \[3+p=8\].
Firstly, let us rearrange the equation in such a way that the variable would be at one end and the constants at the other end.
\[p=8-3\]
The sign of \[3\] has changed because when the terms get transposed from one side to the other, the signs change. ‘plus’ becomes ‘minus’ and ‘minus’ becomes ‘plus’.
Now let's solve the equation. We get,
\[p=5\]

\[\therefore \] The value of the given equation \[3+p=8\] is \[5\].

Note: We can verify the solution by back substituting the solution of the variable we get. Now let us verify our equation where \[p=5\].
\[\begin{align}
  & 3+p=8 \\
 & 3+5=8 \\
\end{align}\]
\[LHS=RHS\]
Hence our solution satisfies the condition.