Question

How do you solve for p in \[2p+5r=q\]?

Answer 1

Hint: In this given problem, we have to solve and find the value of p from the given equation \[2p+5r=q\]. We can take the terms with p inside and take other terms to the other side or we can subtract some terms on both sides in order to find the value of p. We can then divide with the similar number with p to get the value of p from the given equation.

Complete step by step answer:
We know that the given equation is,
\[2p+5r=q\] …… (1)
From the above equation, we have to find the value of p.
We can subtract -5r on both side in the equation (1), we get
\[\Rightarrow 2p+5r-5r=q-5r\]
Now, we can cancel the similar terms with opposite sign on the left-hand side, we get
\[\Rightarrow 2p=q-5r\]
Now, we can divide by 2 on both sides in the above step to get the value of p.
\[\Rightarrow \dfrac{2p}{2}=\dfrac{q-5r}{2}\]
Now, we can cancel the similar terms on the left-hand side, we get
\[\Rightarrow p=\dfrac{q-5r}{2}\]
Therefore, the value of p from the equation \[2p+5r=q\] is \[\dfrac{q-5r}{2}\].

Note:
Students make mistakes while subtracting or adding numbers, in order to reduce the terms or to find some values which should be concentrated. Here we do not have numbers alone, we just have some variables, so we get the final answers along with the unknown variables. We can also separate the final answer into two terms as we can subtract the two terms with the same denominator.