$A$ linear equation in two variables has how many solutions?

The graph of the linear equation $2x + 3y = 6$ cuts the $y$-axis at the point:

Write four solutions for the following equation: $2x + 3y = 7$.

State whether the following statement is true or false:
The graph of the linear equation $5x - 3y = 30$ intersects the $y$-axis at the point $(6, 0)$.

Write the following as an equation in two variables:
$3y = -11$

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.