Are the following pair of linear equations consistent? Justify your answer.

$\frac{3}{5}x-y=\frac{1}{2}$ and $\frac{1}{5}x-3y=\frac{1}{6}$

Are the following pair of linear equations consistent? Justify your answer.

$2ax+by=a$ and $4ax+2by-2a=0;a,b\ne 0$

Are the following pair of linear equations consistent? Justify your answer.

$x+3y=11$ and $2\left(2x+6y\right)=22$

The line represented by $x=7$ is parallel to the $X-$axis, justify whether the statement is true or not.

For which value$\left(s\right)$ of $\lambda$, do the pair of linear equations $\lambda x+y={\lambda }^2$ and $x+\lambda y=1$ have

no solution

For which value(s) of $\lambda$, do the pair of linear equations $\lambda x+y={\lambda }^2$ and $x+\lambda y=1$ have

For which value(s) of $\lambda$, do the pair of linear equations $\lambda x+y={\lambda }^2$ and $x+\lambda y=1$ have

a unique solution?