Graph of Linear Equations in two Variables

In the following questions, two equations numbered I and II are given. You have to solve both the equations and Give an answer If

$\left(1\right)$$x > y$

$\left(2\right) x \ge y$

$\left(3\right) x< y$

$\left(4\right) x \le y$

$\left(5\right) x = y$  Or the relationship cannot be established

I. $2x + 3y = 19$
II.$3x - 2y = 9$

A rabbit covers $y$ metres distance by walking $10$metres in slow motion and the remaining by $x$ jumps, each jump contains $2$ metres. Express this information
in linear equation.

The graph of the linear equation $3x+5y=6$ cuts the x-axis at the point.

Use the table given alongside to draw the graph of a straight line. Find, graphically, the values of $a$ and $b$.

The equation of $y$-axis is:

The point $\left(\frac{-1}{4}, \frac{-1}{2}\right)$ lies 

The distance between the graph of the equations $x=-3$ and $x=2$ is

The equation of this graph is-

The graphs of the equations $3x+y-5=0$ and $2x-y-5=0$ intersect at the point $P(\alpha , \beta )$. What is the value of $(3\alpha +\beta )$?

Find the value of $\mathrm{x}$ in the figure, if two straight lines AB and CD intersect each other O. (given $\angle \mathrm{AOP}=75°$)

Every point on the line representing the equation the linear equation in two variables.

From the choices given below, choose the equation of the line:

From the choices given below, choose the equation whose graph given below:

Area of the region formed by$4\left|x\right|+3\left|y\right|=12$ is