question_answer

     The lines \[2x+y=5\] and \[x+2y=4\] intersect at the point

A)  \[(1,2)\]

B)  \[(2,1)\]

C)  \[\left( \frac{5}{2},0 \right)\]

D)  \[(0,2)\]

Correct Answer: B

Solution :

\[2x+y=5\]                                            ?(i) \[x+2y=4\]                                            ?(ii) By Eq. (i) \[\times 2-\]Eq. (ii), we have \[\Rightarrow \]               \[x=2\] From Eq. (i) \[2\times 2+y=5\] \[\Rightarrow \]   \[y=5-4=1\] \[\therefore \]Point of intersection (2, 1)