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

For all real values of $c,$ the pair of equations $x-2y=8$ and $5x-10y=c$ have a unique solution. Justify whether it is true or false.

If a pair of linear equations is consistent,then the lines will be

For a pair of equations $5x - 4y = 1$ and $10x = 8y + 2$,in usual notations $a_{1}b_{2} - a_{2}b_{1} = \dots$

The pair of equations $5x - 15y = 8$ and $3x - 9y = \frac{24}{5}$ has

On comparing the ratios $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}}$,find out whether the following pair of linear equations are consistent or inconsistent:
$\frac{4}{3} x + 2 y = 8$; $2 x + 3 y = 12$