Solve by graphical method.
⇒ x + 3 = 2y. - - - - - (1).
⇒ x - 3y = 9. - - - - - (2).
From equation (1), we get.
Taking x - axis it means y = 0.
Put the value of y = 0 in the equation, we get.
⇒ x + 3 = 2(0).
⇒ x + 3 = 0.
⇒ x = - 3.
Their Co-ordinates = (-3, 0).
Taking y - axis it means x = 0.
Put the value of x = 0 in the equation, we get.
⇒ (0) + 3 = 2y.
⇒ 3 = 2y.
⇒ y = 3/2.
⇒ y = 1.5.
Their Co-ordinates = (0, 1.5).
From equation (2), we get.
⇒ x - 3(0) = 9.
⇒ x = 9.
Their Co-ordinates = (9, 0).
⇒ (0) - 3y = 9.
⇒ - 3y = 9.
⇒ y = - 3.
Their Co-ordinates = (0, -3).
∴ Both curve intersect at the point = (-27, -12).
∴ value of x = - 27 and y = - 12.
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Answers & Comments
EXPLANATION.
Solve by graphical method.
⇒ x + 3 = 2y. - - - - - (1).
⇒ x - 3y = 9. - - - - - (2).
From equation (1), we get.
⇒ x + 3 = 2y. - - - - - (1).
Taking x - axis it means y = 0.
Put the value of y = 0 in the equation, we get.
⇒ x + 3 = 2(0).
⇒ x + 3 = 0.
⇒ x = - 3.
Their Co-ordinates = (-3, 0).
Taking y - axis it means x = 0.
Put the value of x = 0 in the equation, we get.
⇒ (0) + 3 = 2y.
⇒ 3 = 2y.
⇒ y = 3/2.
⇒ y = 1.5.
Their Co-ordinates = (0, 1.5).
From equation (2), we get.
⇒ x - 3y = 9. - - - - - (2).
Taking x - axis it means y = 0.
Put the value of y = 0 in the equation, we get.
⇒ x - 3(0) = 9.
⇒ x = 9.
Their Co-ordinates = (9, 0).
Taking y - axis it means x = 0.
Put the value of x = 0 in the equation, we get.
⇒ (0) - 3y = 9.
⇒ - 3y = 9.
⇒ y = - 3.
Their Co-ordinates = (0, -3).
∴ Both curve intersect at the point = (-27, -12).
∴ value of x = - 27 and y = - 12.