Find the value of $k$ if $(5, 2)$ is a solution of $3x + ky = 25$.

State whether the following statement is True or False and justify your answer:
Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.

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

Express the equation $2x + 3y = 12$ in the standard form $ax + by + c = 0$ and find the value of $a + b + c$.

The total cost of a school picnic consists of two parts: a fixed bus fare of ₹ $200$ and the cost of snacks at the rate of ₹ $30$ per student. Representing the total number of students by $x$ and the total cost by $y$,form a linear equation in two variables. If the number of students going on the picnic is $40$,find the total cost.

The equation $2x + 5y = 7$ has a unique solution,if $x, y$ are: