The linear equation $2x - 5y = 7$ has:

If the temperature of a liquid can be measured in Kelvin units as $x^{\circ} K$ or in Fahrenheit units as $y^{\circ} F$,the relation between the two systems of measurement of temperature is given by the linear equation
$y = \frac{9}{5}(x - 273) + 32$
$(i)$ Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is $313^{\circ} K$.
$(ii)$ If the temperature is $158^{\circ} F$,then find the temperature in Kelvin.

If $(k, 3)$ is a solution of the equation $2x + 5y = 17$,find the value of $k$.

Which of the following is not a solution of the equation $2x + 7y = 28$?

Give equations of four lines passing through the point $(-2, 4)$.

Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as $10$ units.