Question

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

Options

• (0, 2)

• (2, 0)

• (3, 0)

• (0, 3)

Answer 1

The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point (3, 0).

Explanation:

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).