ор 0-9 Check graphically whether the pair of equations 3x - 2y + 2 = 0 and 32x – y + 3 = 0, is consistent. Also find the coordinates of the points where the graphs of the
Answers
EXPLANATION.
Graphically whether the pair of equations.
⇒ 3x - 2y + 2 = 0. - - - - - (1).
⇒ 32x - y + 3 = 0. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 3x - 2y + 2 = 0. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ 3(0) - 2y + 2 = 0.
⇒ - 2y + 2 = 0.
⇒ 2y = 2.
⇒ y = 1.
Their Co-ordinates = (0,1).
Put the values of y = 0 in the equation, we get.
⇒ 3x - 2(0) + 2 = 0.
⇒ 3x + 2 = 0.
⇒ x = - 2/3.
⇒ x = - 0.66.
Their Co-ordinates = (-0.66,0).
From equation (2), we get.
⇒ 32x - y + 3 = 0. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ 32(0) - y + 3 = 0.
⇒ - y + 3 = 0.
⇒ y = 3.
Their Co-ordinates = (0,3).
Put the value of y = 0 in the equation, we get.
⇒ 32x - (0) + 3 = 0.
⇒ 32x + 3 = 0.
⇒ x = - 3/32.
⇒ x = - 0.09375.
Their Co-ordinates = (-0.09375,0).
Both curves intersects at a point = (-0.066,0.902).
Answer:
their co ordinates ( -0.09375, 0)