Question

(vi) 2x + 3y + 2 = 0
*
4x + 5y = 0 on the graph​

Answer 1

EXPLANATION.

⇒ 2x + 3y + 2 = 0. - - - - - (1).

⇒ 4x + 5y = 0. - - - - - (2).

From equation(1), we get.

⇒ 2x + 3y + 2 = 0. - - - - - (1).

Taking y - axis it means x = 0.

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

⇒ 2(0) + 3y + 2 = 0.

⇒ 3y + 2 = 0.

⇒ 3y = - 2.

⇒ y = -2/3.

⇒ y = - 0.66.

Their Co-ordinates = (0, -0.66).

Taking x - axis it means y = 0.

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

⇒ 2x + 3(0) + 2 = 0.

⇒ 2x + 2 = 0.

⇒ 2x = - 2.

⇒ x = - 1.

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

From equation(2), we get.

⇒ 4x + 5y = 0. - - - - - (2).

Taking y - axis it means x = 0.

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

⇒ 4(0) + 5y = 0.

⇒ 5y = 0.

⇒ y = 0.

Their Co-ordinates = (0,0).

Taking x - axis it means y = 0.

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

⇒ 4x + 5(0) = 0.

⇒ 4x = 0.

⇒ x = 0.

Their Co-ordinates = (0,0).

Both curves intersect at the point = (5, -4).