find the solution graphically x-2y=5 and 2x-y=2
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EXPLANATION.
Solution Graphically.
⇒ x - 2y = 5.
⇒ 2x - y = 2.
As we know that,
From equation (1), we get.
⇒ x - 2y = 5.
Put the value of x = 0 in equation, we get.
⇒ 0 - 2y = 5.
⇒ y = -5/2.
⇒ y = -2.5.
Their Co-ordinates = (0,-2.5).
Put the value of y = 0 in equation, we get.
⇒ x - 2(0) = 5.
⇒ x - 0 = 5.
⇒ x = 5.
Their Co-ordinates = (5,0).
From equation (2), we get.
⇒ 2x - y = 2.
Put the value of x = 0 in equation, we get.
⇒ 2(0) - y = 2.
⇒ -y = 2.
⇒ y = -2.
Their Co-ordinates = (0,-2).
Put the value of y = 0 in equation, we get.
⇒ 2x - (0) = 2.
⇒ 2x = 2.
⇒ x = 1.
Their Co-ordinates = (1,0).
Both curves intersects at a point = (-0.333, -2.667).
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