2x+y=10 2x-y=6
Graphical method
Answers
EXPLANATION.
Graphical method.
⇒ 2x + y = 10. - - - - - (1).
⇒ 2x - y = 6. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 2x + y = 10. - - - - - (1).
Taking y - axis it means x = 0.
Put the value of x = 0 in the equation, we get.
⇒ 2(0) + y = 10.
⇒ y = 10.
Their Co-ordinates = (0,10).
Taking x - axis it means y = 0.
Put the value of y = 0 in the equation, we get.
⇒ 2x + (0) = 10.
⇒ 2x = 10.
⇒ x = 5.
Their Co-ordinates = (5,0).
From equation (2), we get.
⇒ 2x - y = 6. - - - - - (2).
Taking y - axis it means x = 0.
Put the value of x = 0 in the equation, we get.
⇒ 2(0) - y = 6.
⇒ - y = 6.
⇒ y = - 6.
Their Co-ordinates = (0,-6).
Taking x - axis it means y = 0.
Put the value of y = 0 in the equation, we get.
⇒ 2x - (0) = 6.
⇒ 2x = 6.
⇒ x = 3.
Their Co-ordinates = (3,0).
Both curves intersects at a point = (4,2).
