Draw the graph of following linear equations
2x+3y=8 4x+6y=16
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EXPLANATION.
Graph of the linear equation.
⇒ 2x + 3y = 8. - - - - - (1).
⇒ 4x + 6y = 16. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 2x + 3y = 8. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ 2(0) + 3y = 8.
⇒ 3y = 8.
⇒ y = 8/3.
⇒ y = 2.66.
Their Co-ordinates = (0,2.66).
Put the value of y = 0 in the equation, we get.
⇒ 2x + 3(0) = 8.
⇒ 2x = 8.
⇒ x = 4.
Their Co-ordinates = (4,0).
From equation (2), we get.
⇒ 4x + 6y = 16. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ 4(0) + 6y = 16.
⇒ 6y = 16.
⇒ y = 16/6.
⇒ y = 2.66.
Their Co-ordinates = (0,2.66).
Put the value of y = 0 in the equation, we get.
⇒ 4x + 6(0) = 16.
⇒ 4x = 16.
⇒ x = 4.
Their Co-ordinates = (4,0).
Both curves overlap each other .
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