9). Graphically, the pair of equations: 8x - 4y + 10 = 0; 2x -y + 9 = 0 represents two lines which are a 8 u-a 10
Answers
EXPLANATION.
Solve graphically.
⇒ 8x - 4y + 10 = 0. - - - - - (1).
⇒ 2x - y + 9 = 0. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 8x - 4y + 10 = 0. - - - - - (1).
Taking y axis it means x = 0.
Put the value of x = 0 in the equation, we get.
⇒ 8(0) - 4y + 10 = 0.
⇒ - 4y + 10 = 0.
⇒ - 4y = - 10.
⇒ 4y = 10.
⇒ y = 2.5.
Their Co-ordinates = (0,2.5).
Taking x axis it means y = 0.
Put the value of y = 0 in the equation, we get.
⇒ 8x - 4(0) + 10 = 0.
⇒ 8x + 10 = 0.
⇒ 8x = - 10.
⇒ x = - 1.25.
Their Co-ordinates = (- 1.25,0).
From equation (2), we get.
⇒ 2x - y + 9 = 0. - - - - - (2).
Taking y axis it means x = 0.
Put the value of x = 0 in the equation, we get.
⇒ 2(0) - y + 9 = 0.
⇒ - y = - 9.
⇒ y = 9.
Their Co-ordinates = (0,9).
Taking x axis it means y = 0.
Put the value of y = 0 in the equation, we get.
⇒ 2x - (0) + 9 = 0.
⇒ 2x + 9 = 0.
⇒ 2x = - 9.
⇒ x = - 4.5.
Their Co-ordinates = (- 4.5,0).
Both lines are parallel to each other and never intersects each other.
