If the sum of two numbers is $15$ and the subtraction is $1,$ then the smaller number of these two numbers is.........

For which value$(s)$ of $\lambda$,do the pair of linear equations $\lambda x + y = \lambda^2$ and $x + \lambda y = 1$ have:
$(i)$ no solution?
$(ii)$ infinitely many solutions?
$(iii)$ a unique solution?

Solve the following pairs of equations by the method of elimination:
$7(y+3)-2(x+2)=14$
$4(y-2)+3(x-3)=2$

The sum of two numbers is $8$. If the smaller number is $y$,then the larger number $x = \ldots \ldots \ldots \ldots$

The digit at the ten's place is $4$ in a two-digit number,and the product of both the digits is four times greater than the digit at the ten's place. Find the number.

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