Question

The graph of the equation 2x-y-4=0
and x+y+1 = 0 istersect each other
in point (a,b) then find the
Co-ordinates of p?​

Answer 1

EXPLANATION.

Graph of the equation.

⇒ 2x - y - 4 = 0.

⇒ x + y + 1 = 0.

As we know that,

From equation (1), we get.

⇒ 2x - y - 4 = 0.

Put the value of x = 0 in equation, we get.

⇒ 2(0) - y - 4 = 0.

⇒ - y - 4 = 0.

⇒ - y = 4.

⇒ y = -4.

Their Co-ordinates = (0,-4).

Put the value of y = 0 in equation, we get.

⇒ 2x - (0) - 4 = 0.

⇒ 2x - 4 = 0.

⇒ 2x = 4.

⇒ x = 2.

Their Co-ordinates = (2,0).

From equation (2), we get.

⇒ x + y + 1 = 0.

Put the value of x = 0 in equation, we get.

⇒ (0) + y + 1 = 0.

⇒ y = -1.

Their Co-ordinates = (0,-1).

Put the value of y = 0 in equation, we get.

⇒ x + (0) + 1 = 0.

⇒ x = -1.

Their Co-ordinates = (-1,0).

Both curves intersect at a point = p(1,-2)