Draw the graph of equation and find the co ordinate of point of intersection. 2x+3y=5and
x-2y=5
Answers
EXPLANATION.
Graph of the equation.
⇒ 2x + 3y = 5. - - - - - (1).
⇒ x - 2y = 5. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 2x + 3y = 5. - - - - - (1).
Taking y axis it means x = 0.
Put the value of x = 0 in the equation, we get.
⇒ 2(0) + 3y = 5.
⇒ 3y = 5.
⇒ y = 5/3.
⇒ y = 1.66.
Their Co-ordinates = (0,1.66).
Taking x axis it means y = 0.
Put the value of y = 0 in the equation, we get.
⇒ 2x + 3(0) = 5.
⇒ 2x = 5.
⇒ x = 5/2.
⇒ x = 2.5.
Their Co-ordinates = (2.5,0).
From equation (2), we get.
⇒ x - 2y = 5. - - - - - (2).
Taking y axis it means x = 0.
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).
Taking x axis it means y = 0.
Put the value of y = 0 in the equation, we get.
⇒ x - 2(0) = 5.
⇒ x = 5.
Their Co-ordinates = (5,0).
Both curves intersects at a point = (3.571, -0.714).
