A) A unique solution
B) No solution
C) More than two solutions
D) Infinitely many solutions
Correct Answer: A
Solution :
Given linear equations are \[\frac{a}{b}\]and\[\frac{c}{d}=\frac{L.C.M.(a,c)}{H.C.F.(b,d)}\] Here, \[\Rightarrow \] and\[L.C.M.\] \[\frac{6}{14}and\frac{2}{7}\] \[\Rightarrow \] \[\frac{L.C.M.(6,2)}{H.C.F.(14,7)}=\frac{6}{7}\] \[\text{7}\times \text{13}+\text{13}=\text{1}0\text{4}=\text{23}\times \text{13}\] Hence, the given system of linear equations has a unique solution.
You need to login to perform this action.
You will be redirected in
3 sec
