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Raj got $\frac{3}{4}$ times the marks as obtained by Nil in the annual examination of Mathematics. The sum of their marks is $140$. Represent this as a pair of linear equations in two variables.

In a two-digit number, the digit at the unit's place is $x$ and the digit at the ten's place is $2x$. Then, the number is..........

Are the following pair of linear equations consistent? Justify your answer.
$\frac{3}{5} x - y = \frac{1}{2}$
$\frac{1}{5} x - 3 y = \frac{1}{6}$

Solve the following pair of equations by reducing them to a pair of linear equations:
$\frac{1}{2x} + \frac{1}{3y} = 2$
$\frac{1}{3x} + \frac{1}{2y} = \frac{13}{6}$

If $(1, y)$ is the solution of the linear equation of two variables $2x + 3y = 8$,then $y = \ldots$

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