Question

Draw the graph of the linear equation 2x + 3y = 8 in graph page then find the coordinates point where the line cuts the x-axis​

Answer 1

EXPLANATION.

Graph of the linear equation.

⇒ 2x + 3y = 8.

As we know that,

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

⇒ 2(0) + 3y = 8.

⇒ 3y = 8.

⇒ y = 8/3.

⇒ y = 2.666.

Their Co-ordinates = (0,2.66).

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

⇒ 2x + 3(0) = 8.

⇒ 2x = 8.

⇒ x = 4.

Their Co-ordinates = (4,0).

The line cuts x - axes at = (4,0).

Answer 2

Given :-

2x + 3y = 8

To Find :-

Co-ordinate

Solution :-

2x + 3y = 8

Putting x as 0

2(0) + 3y = 8

0 + 3y = 8

3y = 8

y = 8/3

Co-ordinate when x = 0 (0, 8/3)

Putting y as 0

2x + 3(0) = 8

2x + 0 = 8

2x = 8

x = 8/2

x = 4

Co-ordinate when y = 0 (4,0)