The standard form of the equation $5y = -2x + 3$ is........

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

Find the values of $x$ and $y$ in the following rectangle.

Solve the following pairs of linear equations: $8y - 3x = 5xy$,$6y - 5x = -2xy$.

The standard form of the equation $3x = 2y - 1$ is..........

$A$ railway half ticket costs half the full fare,but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ticket from station $A$ to $B$ costs $Rs. 2530$. Also,one reserved first class ticket and one reserved first class half ticket from $A$ to $B$ costs $Rs. 3810$. Find the full first class fare from station $A$ to $B$,and also the reservation charges for a ticket (in $Rs.$).