Question

Draw the graph of the following equatione
x+y = 5; x- y = 5
() Find the solution of the equation
from the graph.
(ii) Shade the triangular region forme
by the lines and the y-axis.
[CBSE 201​

Answer 1

Explanation:

For 1st equation

Take x= 0 then value of y will

x+ y=5

0+y= 5

y=5

Take x= 1 then value of y will

x+ y=5

1+y=5

y=5-1

y=4

Take x=-1 then value of y will

x+y =5

-1 +y=5

y=5+1

y= 6

Take x= 2 then value of y will

x+ y = 5

2+y= 5

y= 5-2

y=3

For 2 nd equation

Take x=1 then the value of y will

x-y =5

1-y = 5

- y=5-1

y= -4

Take x= -1 then value of y will

x-y= 5

-1-y=5

-y= 5+1

y=- 6

Take x= 5 then value of y will

x-y =5

5-y=5

- y=5-5

y= 0

These are the solution for both equations

draw these points on graph

and join them

they will definitely make the triangle