Question

In how many points do the lines represented by the equations x-y=0 and x+y=0 intersect?

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

Question :

In how many points do the lines represented by the equations x-y=0 and x+y=0 intersect?

Let us first take both the Equations in order to find the value of both x and y.

⟹ $\sf{x - y = 0}$

⟹ $\sf{x = y}....(1)$

Now taking the second equation,

⟹ $\sf{x + y = 0}$... (2)

Further substituting (1) in (2),

⟹ $\sf{y + y = 0}$

⟹ $\sf{2y=0}$

⟹ $\sf{y=\frac{0}{2}}$

⟹ $\sf{y=0}$

From (1),

⟹ $\sf{x=0}$

We have found the values of both x and y, they are 0 and 0.

So the only point in which these lines can be represented in, is (0,0)

___________________

Ittu sa solution hai iska, hss lo ab khatam ho gya :grin: xD

Thank You! ;)