Question

Find the solution of the following pair of linear equations by the graphical
method.
2x+y=10
x+y-6​

Answer 1

EXPLANATION.

Pair of linear equations by graphical method.

⇒ 2x + y = 10.

⇒ x + y - 6 = 0.

As we know that,

From equation (1), we get.

⇒ 2x + y = 10.

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

⇒ 2(0) + y = 10.

⇒ y = 10.

Their Co-ordinates = (0,10).

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

⇒ 2x + (0) = 10.

⇒ 2x = 10.

⇒ x = 5.

Their Co-ordinates = (5,0).

From equation (2), we get.

⇒ x + y - 6 = 0.

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

⇒ (0) + y - 6 = 0.

⇒ y - 6 = 0.

⇒ y = 6.

Their Co-ordinates = (0,6).

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

⇒ x + (0) - 6 = 0.

⇒ x - 6 = 0.

⇒ x = 6.

Their Co-ordinates = (6,0).

Both curves intersects at a point = (4,2).