Question

2x+y=3 , x+3y=-1 put graph​

Answer 1

EXPLANATION.

⇒ 2x + y = 3. - - - - - (1).

⇒ x + 3y = -1. - - - - - (2).

As we know that,

From equation (1), we get.

⇒ 2x + y = 3. - - - - - (1).

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

⇒ 2(0) + y = 3.

⇒ y = 3.

Their Co-ordinates = (0,3).

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

⇒ 2x + (0) = 3.

⇒ 2y = 3.

⇒ y = 3/2.

⇒ y = 1.5.

Their Co-ordinates = (0,1.5).

From equation (2), we get.

⇒ x + 3y = -1. - - - - - (2).

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

⇒ (0) + 3y = -1.

⇒ 3y = -1.

⇒ y = -1/3.

⇒ y = 0.33.

Their Co-ordinates = (0,0.33).

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

⇒ x + 3(0) = -1.

⇒ x = -1.

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

Both curves intersects at a point = (2,-1).