Draw the graph of the following pair of linear equations
x + 2y + 5 = 0, 3x + 6y + 15 = 0
Answers
EXPLANATION.
Graph of the following pair of linear equations.
⇒ x + 2y + 5. - - - - - (1).
⇒ 3x + 6y + 15 = 0. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ x + 2y = -5. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ (0) + 2y = -5.
⇒ 2y = -5.
⇒ y = -5/2.
⇒ y = -2.5.
Their Co-ordinates = (0,-2.5).
Put the value of y = 0 in the equation, we get.
⇒ x + 2(0) = -5.
⇒ x = -5.
Their Co-ordinates = (-5,0).
From equation (2), we get.
⇒ 3x + 6y + 15 = 0. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ 3(0) + 6y + 15 = 0.
⇒ 6y + 15 = 0.
⇒ 6y = - 15.
⇒ y = - 15/6.
⇒ y = - 5/2.
⇒ y = - 2.5.
Their Co-ordinates = (0,-2.5).
Put the value of y = 0 in the equation, we get.
⇒ 3x + 6(0) + 15 = 0.
⇒ 3x + 15 = 0.
⇒ 3x = - 15.
⇒ x = - 5.
Their Co-ordinates = (-5,0).
Both curves overlap each other.
