x+y=8 and 3x+3y=15 represent in graphically
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EXPLANATION.
Graph of the equation.
⇒ x + y = 8. - - - - - (1).
⇒ 3x + 3y = 15. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ x + y = 8. - - - - - (1).
Put the value of x = 0 in equation, we get.
⇒ (0) + y = 8.
⇒ y = 8.
Their Co-ordinates = (0,8).
Put the value of y = 0 in equation, we get.
⇒ x + (0) = 8.
⇒ x = 8.
Their Co-ordinates = (8,0).
From equation (2), we get.
⇒ 3x + 3y = 15. - - - - - (2).
Put the value of x = 0 in equation, we get.
⇒ 3(0) + 3y = 15.
⇒ 3y = 15.
⇒ y = 5.
Their Co-ordinates = (0,5).
Put the value of y = 0 in equation, we get.
⇒ 3x + 3(0) = 15.
⇒ 3x = 15.
⇒ x = 5.
Their Co-ordinates = (5,0).
Both lines are parallel to each other & never intersect with each other.
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