Solve the following pair of linear equations graphically:
$x+3y=6;\ 2x-3y=12$

Given: Equations $x+3y=6;\ 2x-3y=12$.

To do: To solve the given equations graphically.

Solution:  given equations are:

$x+3y=6$                 ....................$( 1)$

$2x-3y=12$               ....................$( 2)$

In equation $( 1)$,

$x+3y=6$

 $x=6-3y$

Table for equation $( 1)$ for the different value of y.

In equation $( 2),

$2x-3y=12$  

$2x=12+3y$

$\frac{12+3y}{2}$

Table for equation $( 2)$ for the different value of y.

by plotting $A( 6,\ 0) ,\ B( 3,\ 1) \ ,\ C( 0,\ 2) ,\ D( 3,\ -2) \ and\ E( 0,\ -4)$ on the graph we find both lines intersecting at $ A( 6,\ 0)$.

$\therefore \ x=6,\ y=0$

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Updated on: 10-Oct-2022

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