J P Mohindru and Bharat Mohindru Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 1: EXERCISE

Show that $x=3$, $y=1$ is a solution of the equation $3x-2y=7$. Also, find two more solutions of this equation.

Show that $x=-2, y=3$ is not the solution of the equation $2x+3y=9$.

Find $k$, when $\left(1, -2\right)$ lies on the line represented by $kx+5y=25$.

Show that $x=22, y=18$ is the solution of the system of linear equations: $x+y=40$ and $x-2y+14=0$.

Twenty years ago the age of the father was four times the age of son. After four years from now, the age of the father will be double that of son. Give algebraic and graphical representations of this situation. 

Paths of two roads are given by the equations: $2y-x=8$ and $5y-x=14$. Represent these graphically and find whether they cross each other or not.

Gloria is walking along the path joining$(-2, 3)$ and $(2, -2)$, while Umesh is walking along the path joining $\left(0, 5\right)$ and $(4, 0)$. Represent this situation graphically.

In Prime Minister's cabinet, a total of$56$Ministers include Cabinet Rank Ministers and Ministers of State. Number of Ministers of State is $5$ more than twice the Cabinet Rank Ministers. Represent this situation algebraically and graphically.