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EXPLANATION.

Graph of the linear equations.

⇒ 2y - x = 8. - - - - - (1).

⇒ 5y - x = 14. - - - - - (2).

⇒ y - 2x = 1. - - - - - (3).

As we know that,

From equation (1), we get.

⇒ 2y - x = 8. - - - - - (1).

Taking y - axis it means x = 0.

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

⇒ 2y - (0) = 8.

⇒ 2y = 8.

⇒ y = 4.

Their Co-ordinates = (0,4).

Taking x - axis it means y = 0.

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

2(0) - x = 8.

- x = 8.

x = - 8.

Their Co-ordinates = (- 8, 0).

From equation (2), we get.

⇒ 5y - x = 14. - - - - - (2).

Taking y - axis it means x = 0.

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

⇒ 5y - (0) = 14.

⇒ 5y = 14.

⇒ y = 2.8.

Their Co-ordinates = (0, 2.8).

Taking x - axis it means y = 0.

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

⇒ 5(0) - x = 14.

⇒ - x = 14.

⇒ x = - 14.

Their Co-ordinates = (- 14, 0).

From equation (3), we get.

⇒ y - 2x = 1. - - - - - (3).

Taking y - axis it means x = 0.

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

⇒ y - 2(0) = 1.

⇒ y = 1.

Their Co-ordinates = (0, 1).

Taking x - axis it means y = 0.

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

⇒ (0) - 2x = 1.

⇒ - 2x = 1.

⇒ 2x = - 1.

⇒ x = - 0.50.

Their Co-ordinates = (- 0.50, 0).

Vertices of the triangle obtained is = (-4, 2), (1, 3), (2, 5).