Math, asked by sharankote024, 3 months ago

Graphically lines of the pair of equations 2x+6y-5=0 and x+3y+4=0, will​

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Answered by amansharma264
8

EXPLANATION.

Graph of the equation.

⇒ 2x + 6y - 5 = 0. - - - - - (1).

⇒ x + 3y + 4 = 0. - - - - - (2).

As we know that,

From equation (1), we get.

⇒ 2x + 6y - 5 = 0. - - - - - (1).

Put the value of x = 0 in equation, we get.

⇒ 2(0) + 6y - 5 = 0.

⇒ 6y - 5 = 0.

⇒ 6y = 5.

⇒ y = 5/6.

⇒ y = 0.833.

Their Co-ordinates = (0,0.833).

Put the value of y = 0 in equation, we get.

⇒ 2x + 6(0) - 5 = 0.

⇒ 2x - 5 = 0.

⇒ 2x = 5.

⇒ x = 5/2.

⇒ x = 2.5.

Their Co-ordinates = (2.5,0).

From equation (2), we get.

⇒ x + 3y + 4 = 0. - - - - - (2).

Put the value of x = 0 in equation, we get.

⇒ (0) + 3y + 4 = 0.

⇒ 3y = -4.

⇒ y = -4/3.

⇒ y = -1.33.

Their Co-ordinates = (0,-1.33).

Put the value of y = 0 in equation, we get.

⇒ x + 3(0) + 4 = 0.

⇒ x + 4 = 0.

⇒ x = -4.

Their Co-ordinates = (-4,0).

Both curves never intersect each other.

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