solve the equations graphically
4x-6y-15=0
2x-3y-5=0
Answers
EXPLANATION.
Graphically equation.
⇒ 4x - 6y - 15 = 0. - - - - - (1).
⇒ 2x - 3y - 5 = 0. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 4x - 6y - 15 = 0. - - - - - (1).
Put the value of x = 0 in equation, we get.
⇒ 4(0) - 6y - 15 = 0.
⇒ - 6y - 15 = 0.
⇒ - 6y = 15.
⇒ y = - 15/6.
⇒ y = - 2.5.
Their Co-ordinates = (0,-2.5).
Put the value of y = 0 in equation, we get.
⇒ 4x - 6(0) - 15 = 0.
⇒ 4x - 15 = 0.
⇒ 4x = 15.
⇒ x = 15/4.
⇒ x = 3.75.
Their Co-ordinates = (3.75,0).
From equation (2), we get.
⇒ 2x - 3y - 5 = 0. - - - - - (2).
Put the value of x = 0 in equation, we get.
⇒ 2(0) - 3y - 5 = 0.
⇒ - 3y - 5 = 0.
⇒ - 3y = 5.
⇒ y = -5/3.
⇒ y = -1.66.
Their Co-ordinates = (0,-1.66).
Put the value of y = 0 in equation, we get.
⇒ 2x - 3(0) - 5 = 0.
⇒ 2x - 5 = 0.
⇒ 2x = 5.
⇒ x = 5/2.
⇒ x = 2.5.
Their Co-ordinates = (2.5,0).
Both lines are parallel to each other & they are never intersects each other.
