Question

The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point

[1 mark]

 (0,3)

 (2, 0)

 (0 ,2)

 (3,0)

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Answer 1

Since, the graph of linear equation 2x + 3y = 6 meets the X-axis.

So, we put y = 0 in 2x + 3y = 6 ⇒ 2x + 3(0) = 6

= 2x + 0 = 6

⇒ x = 6/2 ⇒ x = 3

Hence, the coordinate on X-axis is (3, 0).

Answer 2

We will have to check by keeping all that optiom in the place of x and y

1.(0,3)

2(0)+3(3)=6

9=6

Not equal

2.(2,0)

2(2)+3(0)=6

4=6

Not equal.

3.(0,2)

2(0)+3(2)=6

6=6

So it a solution of this equation

C will be the correct answer