Find the value of $k$,if $x = 2$,$y = 1$ is a solution of the equation $2x + 3y = k$.

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a$,$b$,and $c$: $2x + 3y = 9.3\overline{5}$

If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body,express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as $5$ units. Also,read from the graph the work done when the distance travelled by the body is:
$(i)$ $2$ units
$(ii)$ $0$ units

Yamini and Fatima,two students of Class $IX$ of a school,together contributed Rs. $100$ towards the Prime Minister's Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as Rs. $x$ and Rs. $y$.) Draw the graph of the same.

If the point $(3, 4)$ lies on the graph of the equation $3y = ax + 7$,find the value of $a$.

In countries like $USA$ and Canada,temperature is measured in Fahrenheit,whereas in countries like India,it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:
$F = \left(\frac{9}{5}\right) C + 32$
$(i)$ Draw the graph of the linear equation above using Celsius for $x$-axis and Fahrenheit for $y$-axis.
$(ii)$ If the temperature is $30\,^oC$,what is the temperature in Fahrenheit?
$(iii)$ If the temperature is $95\,^oF$,what is the temperature in Celsius?
$(iv)$ If the temperature is $0\,^oC$,what is the temperature in Fahrenheit and if the temperature is $0\,^oF$,what is the temperature in Celsius?
$(v)$ Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes,find it.