A) unique solution
B) no solution
C) infinitely many solutions
D) None of the above
Correct Answer: A
Solution :
Here, \[{{a}_{1}}=1,\,{{b}_{1}}=5,\,{{c}_{1}}=450\] |
and \[{{a}_{2}}=1,\,{{b}_{2}}=10,\,{{c}_{2}}=850\] |
\[\frac{{{a}_{1}}}{{{a}_{2}}}=1,\,\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{5}{10}=\frac{1}{2},\,\frac{{{c}_{1}}}{{{c}_{2}}}=\frac{450}{850}=\frac{9}{17}\] |
\[\frac{{{a}_{1}}}{{{a}_{2}}}\ne \frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\] |
Hence, unique solutions. |
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