Form the pair of linear equations for the following problem and find their solution by the substitution method.
The difference between two numbers is $26$ and one number is three times the other. Find the numbers.

Romila went to a stationery shop and purchased $2$ pencils and $3$ erasers for ₹ $9$. Her friend Sonali saw the new variety of pencils and erasers with Romila,and she also bought $4$ pencils and $6$ erasers of the same kind for ₹ $18$. Represent this situation algebraically and graphically.

Given the linear equation $2x + 3y - 8 = 0$,write another linear equation in two variables such that the geometrical representation of the pair so formed is coincident lines.

Form the pair of linear equations for the following problem and find their solution by the substitution method.
The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of $10 \, km$,the charge paid is ₹ $105$ and for a journey of $15 \, km$,the charge paid is ₹ $155$. What are the fixed charges and the charge per $km$? How much does a person have to pay for travelling a distance of $25 \, km$?

Solve the following pair of linear equations:
$152x - 378y = -74$
$-378x + 152y = -604$

From a bus stand in Bangalore,if we buy $2$ tickets to Malleswaram and $3$ tickets to Yeshwanthpur,the total cost is ₹ $46$; but if we buy $3$ tickets to Malleswaram and $5$ tickets to Yeshwanthpur,the total cost is ₹ $74$. Find the fares from the bus stand to Malleswaram and to Yeshwanthpur.