Solve $2x+3y=11$ and $2x-4y=-24$ and hence find the value of $\text{'}m\text{'}$ for which $y=mx+3.$

Five years hence, the age of Ali will be three times that of his son. Five years ago, Ali's age was seven times of his son. What are their present ages.

Solve the following system of linear equations graphically:

$x-y+1=0$

$3x+2y-12=0$

Find the points, where the above lines meet $x-$axis.

Solve the following system of linear equations graphically:

$x-y+1=0$

$3x+2y-12=0$

Solve the following system of linear equations graphically:

$x-y+1=0$

$3x+2y-12=0$

Solve the following system of linear equations graphically:

$x-y+1=0$

$3x+2y-12=0$

A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the Mess. When a student $\mathrm{A}$ takes food for $20$ days she has to pay $₹1000$ as Hostel charges whereas a student $\mathrm{B}$, who takes food for $26$ days, pays $₹1180$ as Hostel charges. If the Hostel charges for $17$ days is $₹k$, then find the value of $k$.