Question

find the coordinate where the equation 2x+3y=6 intersect x axis

Answer 1

2x+3y=6

2x=6-3y

x=6-3y÷2

if y=0,

x=6-3×0÷2

 =3 ⇒the coordinate intersecting the y axis is [3,0]

Answer 2

The coordinates of x-axis intersection is (3,0).

Step-by-step explanation:

Given:

• An equation .
• $2x + 3y = 6$

To find:

• Find the coordinates of the equation, where it intersect with x-axis.

Solution:

Concept to be used:

• y- coordinate is zero on everywhere at x-axis.
• To find x-axis intersect, put y=0 in the equation.
• Hence find the value of x.

Step 1:

Put y= 0 in the equation.

$2x + 3(0) = 6$

or

$2x = 6$

or

$\bf\:x = 3$

Step 2:

Write the coordinate of x-intersect.

The coordinates of x-axis intersection is (3,0).

Thus,

The coordinates of x-axis intersection is (3,0).

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