Question

The graphs of the equations 2x+4y = 10 and y =2x+ 3 are

Answer 1

EXPLANATION.

Graph of the Equation,

⇒ 2x + 4y = 10.

⇒ y = 2x + 3.

As we know that,

From equation (1), we get.

⇒ 2x + 4y = 10.

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

⇒ 2(0) + 4y = 10.

⇒ 4y = 10.

⇒ y = 10/4.

⇒ y = 2.5

Their Co-ordinates = (0,2.5).

Put y = 0 in equation, we get.

⇒ 2x + 4(0) = 10.

⇒ 2x = 10.

⇒ x = 5.

Their Co-ordinates = (5,0).

From equation (2), we get.

⇒ y = 2x + 3.

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

⇒ y = 2(0) + 3.

⇒ y = 3.

Their Coordinates = (0,3).

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

⇒ (0) = 2x + 3.

⇒ 2x = -3.

⇒ x = -3/2.

⇒ x = -1.5.

Their Co-ordinates = (-1.5,0).

Both curve intersect at a points = (-0.2,2.6).