Question

solve graphically: 3x +4y=11 , 2x-y=0​

Answer 1

EXPLANATION.

Graphically.

⇒ 3x + 4y = 11. - - - - - (1).

⇒ 2x - y = 0. - - - - - (2).

As we know that,

From equation (1), we get.

⇒ 3x + 4y = 11. - - - - - (1).

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

⇒ 3(0) + 4y = 11.

⇒ 4y = 11.

⇒ y = 11/4.

⇒ y = 2.75.

Their Co-ordinates = (0,2.75).

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

⇒ 3x + 4(0) = 11.

⇒ 3x = 11.

⇒ x = 11/3.

⇒ x = 3.66.

Their Co-ordinates = (3.66,0).

From equation (2), we get.

⇒ 2x - y = 0. - - - - - (2).

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

⇒ 2(0) - y = 0.

⇒ - y = 0.

⇒ y = 0.

Their Co-ordinates = (0,0).

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

⇒ 2x - (0) = 0.

⇒ 2x = 0.

⇒ x = 0.

Their Co-ordinates = (0,0).

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