The solution of the pair of equations $x + 2y = 5$ and $3x + 5y = 13$ is ...........

Solve the following pairs of equations by the method of elimination:
$x + 3y - 6 = 0$
$2x - y = 5$

Form the pair of linear equations in the following problems,and find their solutions (if they exist) by the elimination method.
Meena went to a bank to withdraw ₹ $2000$. She asked the cashier to give her ₹ $50$ and ₹ $100$ notes only. Meena got $25$ notes in all. Find how many notes of ₹ $50$ and ₹ $100$ she received.

If the sum of two numbers is $20$ and their difference is $8,$ then the larger number is ...........

Obtain the solution of the following pair of equations by elimination method:
$\frac{11}{y} - \frac{7}{x} = 1, \, \frac{9}{y} - \frac{4}{x} = 6$; $x \neq 0, \, y \neq 0$

Solve the following pair of linear equations: $\frac{8}{a} - \frac{9}{b} = 1$ and $\frac{10}{a} + \frac{6}{b} = 7$.