Question

Draw and solve the equations Graphically : 2 x – y = 1 and x + 2y = 13​

Answer 1

EXPLANATION.

Solve the equation graphically.

⇒ 2x - y = 1. - - - - - (1).

⇒ x + 2y = 13. - - - - - (2).

As we know that,

From equation (1), we get.

⇒ 2x - y = 1. - - - - - (1).

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

⇒ 2(0) - y = 1.

⇒ - y = 1.

⇒ y = - 1.

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

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

⇒ 2x - (0) = 1.

⇒ 2x = 1.

⇒ x = 1/2.

⇒ x = 0.5.

Their Co-ordinates = (0.5,0).

From equation (2), we get.

⇒ x + 2y = 13. - - - - - (2).

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

⇒ (0) + 2y = 13.

⇒ 2y = 13.

⇒ y = 13/2.

⇒ y = 6.5.

Their Co-ordinates = (0,6.5).

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

⇒ x + 2(0) = 13.

⇒ x = 13.

Their Co-ordinates = (13,0).

Both curves intersects at a point = (3,5).