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)
Solution:
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 $2 x+5 y=10$, we get
$2 x+5(0)=10$
$\Rightarrow 2 x=10$
$\Rightarrow x=\frac{10}{2}$
$\Rightarrow x=5$
So, the point of meeting is (5, 0).
Hence, the correct option is (c).