Determine graphically, the vertices of the triangle formed by the lines

$y=x, 3y=x$ and $x+y=8$

Draw the graph of the equations $x=3, x=5$ and $2x-y-4=0$. Also find the area of the quadrilateral formed by the lines and the X-axis.

Determine, algebraically, the vertices of the triangle formed by the lines

$3x-y=3$

$2x-3y=2$

and $x+2y=8$

Ankita travels $14$ km to her home partly by rickshaw and partly by bus. She takes half an hour, if she travels $2$ km by rickshaw and the remaining distance by bus. On the other hand, if she travels $4$ km by rickshaw and the remaining distance by bus, she takes $9$ min longer. Find the speed of the rickshaw and of the bus.

A two-digit number is obtained by either multiplying the sum of the digits by $8$ and then subtracting$5$ or by multiplying the difference of the digits by $16$ and then adding $3$. Find the number.