A) solution
B) two solutions
C) infinitely many solutions
D) no solution
Correct Answer: C
Solution :
[c] Given, \[5x-15y=8\] and \[3x-9y=\frac{24}{5}\] |
Here, \[{{a}_{1}}=5,\,\,{{b}_{1}}=-15,\,\,{{c}_{1}}=8\] |
and \[{{a}_{2}}=3,{{b}_{2}}=-9,{{c}_{2}}=\frac{24}{5}\] |
\[\therefore \,\,\,\,\,\,\,\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{5}{3},\,\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{-15}{-9}=\frac{5}{3}\] |
and \[\frac{{{c}_{1}}}{{{c}_{2}}}=\frac{8\times 5}{24}=\frac{5}{3}\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\] |
which shows that the given equations have infinitely many solutions. |
You need to login to perform this action.
You will be redirected in
3 sec