1. Solve Graphically. 2x=y-1 x-y=-2
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EXPLANATION.
Solve graphically.
⇒ 2x = y - 1. - - - - - (1).
⇒ x - y = - 2. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 2x = y - 1. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ 2(0) = y - 1.
⇒ 0 = y - 1.
⇒ y = 1.
Their Co-ordinates = (0,1).
Put the value of y = 0 in the equation, we get.
⇒ 2x = (0) - 1.
⇒ 2x = - 1.
⇒ x = - 1/2.
⇒ x = - 0.5.
Their Co-ordinates = (-0.5,0).
From equation (2), we get.
⇒ x - y = - 2. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ (0) - y = - 2.
⇒ - y = - 2.
⇒ y = 2.
Their Co-ordinates = (0,2).
Put the value of y = 0 in the equation, we get.
⇒ x - (0) = - 2.
⇒ x = - 2.
Their Co-ordinates = (-2,0).
Both curves intersects at a point = (1,3).
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