Question

: Solve the following equation:
\[\dfrac{3p}{4}=6\]

Answer 1

Hint: To solve this type of linear equation we will take variable terms to one side and constants to the other side then we will apply different mathematical operations to get the required solution.

Complete step by step answer:
The given equation is
\[\dfrac{3p}{4}=6\]
Multiply by \[4\] on both the sides of the equation, we will get
\[\Rightarrow \dfrac{3p}{4}\times 4=6\times 4\]
By simplifying the equation we get
\[\Rightarrow 3p=24\]
Divide by \[3\] on both the sides of the above equation, then we will get
\[\Rightarrow \dfrac{3p}{3}=\dfrac{24}{3}\]
\[\Rightarrow p=8\]
Hence we can conclude that \[p=8\] is the solution of the given equation.

Note:
There are three methods to solve linear equations in one variable.
1. Trial and Error.
2. Inverse operations.
3. Transposition Method.