Question

Where will the lines represented by the pair of equations x+y=0 and x-y=0 intersect at?

Answer 1

Answer:

(0,0)

Step-by-step explanation:

x-y=0

x=y

x+y=0

x+x=0

2x=0

x=0

y=x=0

Answer 2

Answer:

The lines will intersect at origin.

Step-by-step explanation:

Given :

x + y = 0

x = - y    ... ( i )

x - y = 0

x = y ..... ( ii )

From ( i )  and ( ii )  we have

- y = y

y + y = 0

2 y = 0

y = 0

Now put  y = 0  in ( i ) we get

x = - y

x = - 0

x = 0

So we get x = 0 and y = 0 .

The lines will intersect at origin i.e. ( 0 , 0 ) as shown in graph.

Thus we get answer.