test

Hence, x=9/5            , y =6/5

By substitution method :

The given system of ^equations is

x + y =5

and,    2x - 3y=4

From (1),     y = 5 - x

Substituting y =5- x in (2), we get

2x - 15 + 3x = 4

5x = 4 + 15

5x = 19          x =19/5

Putting x =19/5 in (1), we get

          19      •        19        25 - 19 6

4-y=5      y = 5   =

          5        5        5

5

Hence, x =19/5,y=6/5

By geometrical method :

Graph of x +y =5 :

We have, x+y=5 y=5-x

When x =¹0, y = 5; When x = 5,y =0

Thus, we have the following table :

x        0          5

Y          5          0

Plotting the points A(0, 5) and B(5, 0) and drawing a

linei9inin them we get the graph of the equatioⁿ x + y ---- 5