A) \[x=\frac{1}{7},\,\,y=\frac{2}{7}\]
B) \[x=\frac{2}{7},\,\,y=\frac{1}{7}\]
C) \[x=\left( \frac{1}{7} \right)l,\,\,y=\left( \frac{2}{7} \right)l\]
D) \[x=\left( \frac{2}{7} \right)l,\,\,y=\left( \frac{1}{7} \right)l\]
Correct Answer: C
Solution :
We have, \[3x+2y=l\] ... (i) \[2x-y=O\] ... (ii) On multiplying Eq. (ii) by 2, we get \[4x-2y=2\cdot O=O\] ... (iii) On adding Eqs. (i) and (iii), we get \[3x+2y=l\] \[\frac{4x-2y=O}{7x=l}\] \[\Rightarrow \] \[x=\frac{l}{7}or\frac{1}{7}l\] From Eq. (i), we get \[2y=l-\frac{3}{7}l=\frac{4}{7}l\] \[\Rightarrow \] \[y=\frac{2}{7}l\]
You need to login to perform this action.
You will be redirected in
3 sec
