Write each of the following equations in the standard form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case

$3 x+4 y=24$

At what point does the graph of the linear equation $x+y=5$ meet a line which is parallel to the $y$ -axis, at a distance $2$ units from the origin and in the positive direction of $x$ – axis.

Write whether the following statements are True or False? Justify your answers.

$(i)$ $a x+b y+c=0,$ where $a, b$ and $c$ are real numbers, is a linear equation in two variables.

$(ii)$ A linear equation $2 x+3 y=5$ has a unique solution.

$(iii)$ All the points $(2,0),(-3,0),(4,2)$ and $(0,5)$ lie on the $x$ -axis.

The graph of the equation $3 x+7 y=k,$ is a line passing through the origin. Then, $k=\ldots \ldots \ldots$

Any solution of the linear equation $2 x+0 y+9=0$ in two variables is of the form: