R S Aggarwal and Veena Aggarwal Solutions for Exercise 1: Exercise 3A

Solve the following system of equations graphically to find the value of $\mathrm{x}+\mathrm{y}$:

$2\mathrm{x}-5\mathrm{y}+4=0$,

$2\mathrm{x}+\mathrm{y}-8=0$

Solve graphically the system of equations
$$\begin{gathered} 2x–3y+4=0 \\ x+2y–5=0 \end{gathered}$$
Find the vertices and area of the triangle formed by these two lines and the $x$-axis.

Solve the following system of linear equations graphically
$4x–3y+4=0, 4x+3y–20=0$.
Find the vertices and area of the triangle formed by these lines and the $x$-axis.

Solve graphically the system of equations
$$\begin{gathered} 4x–y–4=0 \\ 3x+2y-14=0 \end{gathered}$$.
Find the vertices and area of the triangle formed by these two lines and the $y$-axis.

Solve graphically the system of equations
$$\begin{gathered} 2x–3y=12 \\ x+3y=6 \end{gathered}$$
Find the vertices and area of the triangle formed by these two lines and the $y$-axis.

Show graphically that the system of equations $2x+y=6, 6x+3y=18$ has infinitely many solutions.

Show graphically that the system of equations $x-2y=5, 3x-6y=15$ has infinitely many solutions.

Show graphically that the system of equations $2x+y=6, 6x+3y=20$ is inconsistent.