Example 16
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example 16 For what values of k will the following pair of linear equations have infinitely many solutions? kx + 3y – (k-3) = 0 12x + ky – k = 0 kx + 3y – (k – 3) = 0 12x + ky – k = 0 Since equation has infinite number of solutions So, 𝑎1/𝑎2 = 𝑏1/𝑏2 = 𝑐1/𝑐2 Putting in values 𝑘/12 = 3/𝑘 = (−(𝑘−3))/(−𝑘) 𝑘/12 = 3/𝑘 = (𝑘 −3)/𝑘 Therefore, k = 6 satisfies both equations. Hence k = 6 is the answer
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