Find the common solution of the equations $x + y = 0$ and $x - y = 0$.

Write the following as an equation in two variables: $8 y - 15 = 0$.

The following observed values of $x$ and $y$ are thought to satisfy a linear equation. Write the linear equation:

$x$	$6$	$-6$
$y$	$-2$	$6$

Draw the graph using the values of $x$ and $y$ as given in the above table.
At what points does the graph of the linear equation:
$(i)$ cut the $x$-axis and
$(ii)$ cut the $y$-axis?

The graph of the linear equation $2x + 3y = 6$ is a line which meets the $x$-axis at the point

Determine which of the given equations is represented by the graph shown in the figure below.

The total cost of $3$ sweetlimes and $6$ oranges is ₹ $210$. Show this statement as a linear equation in two variables.