Solve Graphically
4x+6y-18=0 and 2x+3y-4=0
Answers
EXPLANATION.
Graphically.
⇒ 4x + 6y - 18 = 0. - - - - - (1).
⇒ 2x + 3y - 4 = 0. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 4x + 6y - 18 = 0. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ 4(0) + 6y - 18 = 0.
⇒ 6y - 18 = 0.
⇒ 6y = 18.
⇒ y = 3.
Their Co-ordinates = (0,3).
Put the value of y = 0 in the equation, we get.
⇒ 4x + 6(0) - 18 = 0.
⇒ 4x - 18 = 0.
⇒ 4x = 18.
⇒ x = 18/4.
⇒ x = 4.5.
Their Co-ordinates = (4.5,0).
From equation (2), we get.
⇒ 2x + 3y - 4 = 0. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ 2(0) + 3y - 4 = 0.
⇒ 3y - 4 = 0.
⇒ 3y = 4.
⇒ y = 4/3.
⇒ y = 1.33.
Their Co-ordinates = (0,1.33).
Put the value of y = 0 in the equation, we get.
⇒ 2x + 3(0) - 4 = 0.
⇒ 2x - 4 = 0.
⇒ 2x = 4.
⇒ x = 2.
Their Co-ordinates = (2,0).
Both lines are parallel to each other and never intersects each other.
