x+2y=9,2x-y=3. solve by graphycial method
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EXPLANATION.
Graphical representation.
⇒ x + 2y = 9. - - - - - (1).
⇒ 2x - y = 3. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ x + 2y = 9. - - - - - (1).
Put the value of x = 0 in equation, we get.
⇒ (0) + 2y = 9.
⇒ 2y = 9.
⇒ y = 9/2.
⇒ y = 4.5.
Their Co-ordinates = (0,4.5).
Put the value of y = 0 in equation, we get.
⇒ x + 2(0) = 9.
⇒ x = 9.
Their Co-ordinates = (9,0).
From equation (2), we get.
⇒ 2x - y = 3. - - - - - (2).
Put the value of x = 0 in equation, we get.
⇒ 2(0) - y = 3.
⇒ - y = 3.
⇒ y = - 3.
Their Co-ordinates = (0, -3).
Put the value of y = 0 in equation, we get.
⇒ 2x - (0) = 3.
⇒ 2x = 3.
⇒ x = 3/2.
⇒ x = 1.5.
Their Co-ordinates = (1.5,0).
Both curves intersects at a point = (3,3).
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