If $2x + 3y = 7$ and $3x + 2y = 3$,then the value of $x + y$ is ..........

Find the value of $k$ under the given condition for the following pair of linear equations: $2x - 3y = 1$ and $kx + 5y = 7$,such that the system has a unique solution.

The graph of the equation $2x - y = 1$ does not pass through which of the following points?

Are the following pair of linear equations consistent? Justify your answer.
$x + 3y = 11$
$2(2x + 6y) = 22$

Devarshi got thrice the marks as obtained by Maharshi in the annual examination of mathematics of standard $10$. The sum of the marks obtained by them was $150$. Represent this situation as a pair of linear equations in two variables.

If $\frac{3}{x}-\frac{2}{y}=5$ and $\frac{4}{x}-\frac{5}{y}=2,$ then the value of $\frac{1}{x}-\frac{1}{y}$ is ............ $(x, y \neq 0)$