To express the given statement as a linear equation in two variables, let's follow a step-by-step approach:
1. Define the variables:
- Let the cost of a pen be represented by [tex]\( p \)[/tex].
- Let the cost of a notebook be represented by [tex]\( n \)[/tex].
2. Translate the statement into a mathematical relationship:
- The statement says, "The cost of a notebook is Rs 5 less than twice the cost of a pen."
- Translating this into a mathematical equation, we get:
[tex]\[
n = 2p - 5
\][/tex]
3. Rearrange to linear equation standard form:
- A linear equation in two variables (standard form) is generally written as [tex]\( Ax + By = C \)[/tex].
- To convert the equation [tex]\( n = 2p - 5 \)[/tex] into this form, we need to rearrange it:
[tex]\[
n - 2p = -5
\][/tex]
4. Resulting linear equation:
- Therefore, the linear equation that represents the given statement is:
[tex]\[
n - 2p = -5
\][/tex]
This is the required linear equation in two variables that expresses the relationship described in the problem.
