Draw the graph of the linear equation-
3x+y-5=0
2x-y-5=0
Answers
EXPLANATION.
Graph of linear equation.
⇒ 3x + y - 5 = 0. - - - - - (1).
⇒ 2x - y - 5 = 0. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 3x + y - 5 = 0. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ 3(0) + y - 5 = 0.
⇒ y - 5 = 0.
⇒ y = 5.
Their Co-ordinates = (0,5).
Put the value of y = 0 in the equation, we get.
⇒ 3x + (0) - 5 = 0.
⇒ 3x - 5 = 0.
⇒ 3x = 5.
⇒ x = 5/3.
⇒ x = 1.66.
Their Co-ordinates = (1.66,0).
From equation (2), we get.
⇒ 2x - y - 5 = 0. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ 2(0) - y - 5 = 0.
⇒ - y - 5 = 0.
⇒ - y = 5.
⇒ y = - 5.
Their Co-ordinates = (0,-5).
Put the value of y = 0 in the equation, we get.
⇒ 2x - (0) - 5 = 0.
⇒ 2x - 5 = 0.
⇒ 2x = 5.
⇒ x = 5/2.
⇒ x = 2.5.
Their Co-ordinates = (2.5,0).
Both curves intersects at a point = (2,-1).
