A railway half-ticket costs half the full ticket. However the reservation charge for all the tickets is constant. One full reserved ticket for a journey is Rs.525. If the cost of one full and one half reserved ticket for the same journey is Rs.850, then what is the reservation charge per ticket?

The intersection point on the Y- axis of $5x - 3y = 9$ is

Solve the linear equation for $x$:

$3x - 7 = 2x + 5$

When thrice of x is added to 7, we get 13, then the value of x is :

The system of equations $4x + 14y = 18$ and $6x + 21y = 33$ has

If $2^{(x+y)} = 64$ and $128^{(x-y)} = 2$, then what is the value of x?

Which one of the following pairs of linear equations has/ have infinite many solutions?

(A) $9x + 3y + 12 = 0$, and $18x + 6y + 24 = 0$

(B) $2x - 3y = 13$, and $7x - 2y = 20$

(C) $x + y = 5$, $2x + 2y = 10$

(D) $3x + y - 3 = 0$ and $2x + \frac{2}{3}y = 2$

Choose the correct answer from the options given below: