Question

solve the equation graphically 4x-3y=0 ,2x + 3y -18 = 0​

Answer 1

Answer: On a graph paper, draw a horizontal line X'OX and a vertical line YOY' as the x-axis and the y-axis, respectively.  Graph of 2x – 3y = 1  2x – 3y = 1  ⇒ 3y = (2x – 1)  ∴ y = 2x−1/ 3 ……..(i)  Putting x = -1, we get: y = -1  Putting x = 2, we get:  y = 1  Putting x = 5, we get:  y = 3  Thus, we have the following table for the equation 2x – 3y = 1.Read more on Sarthaks.com - https://www.sarthaks.com/133795/solve-the-following-system-of-equations-graphically-2x-3y-1-4x-3y-1-0

Answer 2

EXPLANATION.

Equation in graphically,

(1) = 4x - 3y = 0.

(2) = 2x + 3y - 18 = 0.

As we know that,

From equation (1), we get.

⇒ 4x - 3y = 0.

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

⇒ 4(0) - 3y = 0.

⇒ 0 - 3y = 0.

⇒ y = 0.

Their Co-ordinates = (0,0).

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

⇒ 4x - 3(0) = 0.

⇒ 4x - 0 = 0.

⇒ x = 0.

Their Co-ordinates = (0,0).

From equation (2), we get.

2x + 3y - 18 = 0.

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

⇒ 2(0) + 3y - 18 = 0.

⇒ 3y - 18 = 0.

⇒ 3y = 18.

⇒ y = 6.

Their Co-ordinates = (0,6).

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

⇒ 2x + 3(0) - 18 = 0.

⇒ 2x - 18 = 0.

⇒ 2x = 18.

⇒ x = 9.

Their Co-ordinates = (9,0).

Both curves intersect at a point = (3,4).