Solve graphically:5x+3y=2 and 4x+3y=1
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EXPLANATION.
Solve Graphically.
⇒ 5x + 3y = 2. - - - - - (1).
⇒ 4x + 3y = 1. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 5x + 3y = 2. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ 5(0) + 3y = 2.
⇒ 3y = 2.
⇒ y = 2/3.
⇒ y = 0.066.
Their Co-ordinates = (0,0.066).
Put the value of y = 0 in the equation, we get.
⇒ 5x + 2(0) = 2.
⇒ 5x = 2.
⇒ x = 2/5.
⇒ x = 0.4.
Their Co-ordinates = (0.4,0).
From equation (2), we get.
⇒ 4x + 3y = 1. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ 4(0) + 3y = 1.
⇒ 3y = 1.
⇒ y = 1/3.
⇒ y = 0.33.
Their Co-ordinates = (0,0.33).
Put the value of y = 0 in the equation, we get.
⇒ 4x + 3(0) = 1.
⇒ 4x = 1.
⇒ x = 1/4.
⇒ x = 0.25.
Their Co-ordinates = (0.25,0).
Both curves intersects at a point = (1,-1).
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