If $y = \frac{1}{2} x$ and $x + 2y = 8$,then $x = \dots$

The graph of the equation ............. passes through the origin.

Solve the following pairs of equations:
$4x + \frac{6}{y} = 15$
$6x - \frac{8}{y} = 14, y \neq 0$

Find the solution of the pair of equations $\frac{x}{10} + \frac{y}{5} - 1 = 0$ and $\frac{x}{8} + \frac{y}{6} = 15$. Hence,find $\lambda$ if $y = \lambda x + 5$.

Aruna has only $Rs. 1$ and $Rs. 2$ coins with her. If the total number of coins that she has is $50$ and the amount of money with her is $Rs. 75$,then the number of $Rs. 1$ and $Rs. 2$ coins are,respectively

$A$ line $2x - y = 6$ intersects the $X$-axis at........