The lines 2x + y = 5 and x + 2y = 4 intersect at the point?

Answer: Option B

$$\begin{array}{rl}& 2x+y=\mathrm{5..............}(i)\\ & x+2y=\mathrm{4..............}(ii)\\ & \text{Multiply equation (ii) by 2}\\ & 2x+4y=\mathrm{8............}(iii)\end{array}$$
Now subtracting equation (i) from (iii)
$$\begin{array}{rl}& 2x+4y=8\\ & \underset{-}{}2x\underset{-}{+}y=5\\ & \overline{\underline{3y=3}}\\ & y=1\\ & x=2\\ & \therefore \text{Intersection point = }\left(2,1\right)\end{array}$$