The intersection point in the graph of a pair of equations $x=0$ and $y=0$ is.........

The solution of the pair of equations $x+2=0$ and $y-1=0$ is $(x, y) = \dots$

Solve the following pair of linear equations in two variables using a graph: $x + y = 5$ and $5x - 2y = 4$.

Rajvansh invested some amount at the rate of $12 \%$ simple interest and some amount at the rate of $10 \%$ simple interest. He received a yearly interest of Rs. $130$. However,if he had interchanged the amounts invested,he would have received Rs. $4$ more as interest. How much amount did he invest at each rate?

Solve the following pairs of equations by the method of elimination:
$4x - 3y = 5$
$\frac{5}{2}x - y = 4$

By the graphical method,find whether the following pair of equations are consistent or not. If consistent,solve them.
$x - 2y = 6$
$3x - 6y = 0$