Question

The graph of the linear equation 2x + 5y = 10 meets the x-axis at the point
(a) (0, 2)
(b) (2, 0)
(c) (5, 0)
(d) (0, 5)

Answer 1

If he graph of the linear equation 2x + 5y = 10 meets the x-axis, then y = 0.

Substituting the value of y = 0 in equation 2x + 5y = 10, we get

$$\begin{gathered} 2x+5\left(0\right)=10 \\ \Rightarrow 2x=10 \\ \Rightarrow x=\frac{10}{2} \\ \Rightarrow x=5 \end{gathered}$$
​
So, the point of meeting is (5, 0).

Hence, the correct option is (c).