(6) 2х- Зу =4 ; 3у - x=4 solve by graphical method
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EXPLANATION.
Graphically method.
⇒ 2x - 3y = 4. - - - - - (1).
⇒ 3y - x = 4. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 2x - 3y = 4. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ 2(0) - 3y = 4.
⇒ - 3y = 4.
⇒ y = - 4/3.
⇒ y = - 1.33.
Their Co-ordinates = (0,-1.33).
Put the value of y = 0 in the equation, we get.
⇒ 2x - 3(0) = 4.
⇒ 2x = 4.
⇒ x = 2.
Their Co-ordinates = (2,0).
From equation (2), we get.
⇒ 3y - x = 4. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ 3y - (0) = 4.
⇒ 3y = 4.
⇒ y = 4/3.
⇒ y = 1.33.
Their Co-ordinates = (0,1.33).
Put the value of y = 0 in the equation, we get.
⇒ 3(0) - x = 4.
⇒ - x = 4.
⇒ x = - 4.
Their Co-ordinates = (-4,0).
Both curves intersects at a point = (8,4).
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