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For what value of m will the system of equations 17x + my + 102 = 0 and 23x + 299y + 138 = 0 have infinite number of solutions?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& 17x + my + 102 = 0 \cr
& 23x + 299y + 138 = 0 \cr
& {\text{Infinite solution}} \cr
& \frac{{{a_1}}}{{{a_2}}} = \frac{{{b_1}}}{{{b_2}}} \cr
& \frac{{17}}{{23}} = \frac{m}{{299}} \cr
& m = \frac{{17 \times 299}}{{23}} = 221 \cr} $$
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