Question

Solve the equations 2x + y - 5 = 0 and 3x – 4 = 0 graphically.​

Answer 1

EXPLANATION.

Graph of the equation.

⇒ 2x + y - 5 = 0.

⇒ 3x - 4 = 0.

As we know that,

From equation (1), we get.

⇒ 2x + y - 5 = 0.

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

⇒ 2(0) + y - 5 = 0.

⇒ y - 5 = 0.

⇒ y = 5.

Their Co-ordinates = (0,5).

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

⇒ 2x + (0) - 5 = 0.

⇒ 2x - 5 = 0.

⇒ 2x = 5.

x = 2.5.

Their Co-ordinates = (2.5,0).

From equation (2), we get.

⇒ 3x - 4 = 0.

⇒ 3x = 4.

⇒ x = 4/3.

⇒ x = 1.33.

Their Co-ordinates = (1.33,0).

Both curves intersects at point = (1.33,2.33).

Answer 2

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