Question

SOC
34. Draw the graphs of the equations 2x + 3y = -5 and x + y = -1 on the same pair of axes.
Find the coordinates of the point of intersection of the two lines.​

Answer 1

EXPLANATION.

Graph of the equation.

⇒ 2x + 3y = -5. - - - - - (1).

⇒ x + y = -1. - - - - - (2).

As we know that,

From equation (1), we get.

⇒ 2x + 3y = -5. - - - - - (1).

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

⇒ 2(0) + 3y = -5.

⇒ 3y = -5.

⇒ y = -1.66.

Their Co-ordinates = (0,-1.66).

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

⇒ 2x + 3(0) = -5.

⇒ 2x = -5.

⇒ x = -2.5.

Their Co-ordinates = (-2.5,0).

From equation (2), we get.

⇒ x + y = -1. - - - - - (2).

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

⇒ (0) + y = -1.

⇒ y = -1.

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

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

⇒ x + (0) = -1.

⇒ x = -1.

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

Both curve intersect at a point = (2,-3).