Draw the graph of the following
Answers
EXPLANATION.
Graph of the linear equations.
⇒ 2x - 3y = 5. - - - - - (1).
⇒ 3x + 4y = -1. - - - - - (2).
⇒ y = 2. - - - - - (3).
As we know that,
From equation (1), we get.
⇒ 2x - 3y = 5. - - - - - (1).
Put the value of x = 0 in equation, we get.
⇒ 2(0) - 3y = 5.
⇒ - 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.
⇒ 2x = 5.
⇒ x = 5/2.
⇒ x = 2.5.
Their Co-ordinates = (2.5,0).
From equation (2), we get.
⇒ 3x + 4y = -1. - - - - - (2).
Put the value of x = 0 in equation, we get.
⇒ 3(0) + 4y = -1.
⇒ 4y = -1.
⇒ y = -1/4.
⇒ y = -0.25.
Their Co-ordinates = (0,-0.25).
Put the value of y = 0 in equation, we get.
⇒ 3x + 4(0) = -1.
⇒ 3x = -1.
⇒ x = -1/3.
⇒ x = -0.33.
Their Co-ordinates = (-0.33,0).
From equation (3), we get.
⇒ y = 2.
Curves intersects at a point = (-3,2) & (5.5,2) & (1,-1).
