If $(3,5)$ is a solution of the equation $2x + 5y = k$,find the value of $k$.

The graph of $3x - 2y = 12$ passes through which of the following points?

The force exerted to pull a cart is directly proportional to the acceleration produced in the body. Express the statement as a linear equation of two variables and draw the graph of the same by taking the constant mass equal to $6 \,kg$. Read from the graph,the force required when the acceleration produced is $(i)$ $5 \,m/s^2$,$(ii)$ $6 \,m/s^2$.

Let $y$ vary directly as $x$. If $y=12$ when $x=4$,then write a linear equation. What is the value of $y$ when $x=5$?

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

The point $\ldots \ldots \ldots$ lies on the graph of the equation $3x - 5y = 15$.