Question

5: Check graphically that system : x - y = 0 and 2x + 2y = 0 is consistent or inconsistent.​

Answer 1

EXPLANATION.

Check graphically.

⇒ x - y = 0. - - - - - (1).

⇒ 2x + 2y = 0. - - - - - (2).

As we know that,

From equation (1), we get.

⇒ x - y = 0. - - - - - (1).

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

⇒ (0) - y = 0.

⇒ y = 0.

Their Co-ordinates = (0,0).

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

⇒ x - (0) = 0.

⇒ x = 0.

Their Co-ordinates = (0,0).

From equation (2), we get.

⇒ 2x + 2y = 0. - - - - - (2).

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

⇒ 2(0) + 2y = 0.

⇒ 2y = 0.

⇒ y = 0.

Their Co-ordinates = (0,0).

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

⇒ 2x + 2(0) = 0.

⇒ 2x = 0.

⇒ x = 0.

Their Co-ordinates = (0,0).

Hence, the given equation is consistent.