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प्रश्न
For what value of k does the following pair of linear equations have infinitely many solutions?
10x + 5y – (k – 5) = 0 and 20x + 10y – k = 0
बेरीज
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उत्तर
For infinitely many solutions, we have `(a_1)/(a_2) = (b_1)/(b_2) = (c_1)/(c_2)`.
∴ `10/20 = 5/10`
= `(k - 5)/k`
⇒ `(k - 5)/k = 1/2`
⇒ 2k – 10 = k
⇒ k = 10
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