graphically the pair of equations 4x-2y+6=0, 2x-y+3=0 represent two lines which are
Answers
EXPLANATION.
Graphically represents pair of linear equations.
⇒ 4x - 2y + 6 = 0. - - - - - (1).
⇒ 2x - y + 3 = 0. - - - - - (2).
As we know that,
From equation (1),
⇒ 4x - 2y + 6 = 0. - - - - - (1).
Taking y - axis it means x = 0.
Put the value of x = 0 in the equation, we get.
⇒ 4(0) - 2y + 6 = 0.
⇒ 2y = 6.
⇒ y = 3.
Their Co-ordinates = (0,3).
Taking x - axis it means y = 0.
Put the value of y = 0 in the equation, we get.
⇒ 4x - 2(0) + 6 = 0.
⇒ 4x + 6 = 0.
⇒ 4x = - 6.
⇒ x = - 1.5
Their Co-ordinates = (- 1.5,0).
From equation (2),
⇒ 2x - y + 3 = 0. - - - - - (2).
Taking y - axis it means x = 0.
Put the value of x = 0 in the equation, we get.
⇒ 2(0) - y + 3 = 0.
⇒ y = 3.
Their Co-ordinates = (0,3).
Taking x - axis it means y = 0.
Put the value of y = 0 in the equation, we get.
⇒ 2x - (0) + 3 = 0.
⇒ 2x + 3 = 0.
⇒ 2x = - 3.
⇒ x = - 1.5.
Their Co-ordinates = (- 1.5, 0).
Both curves overlap each other.
