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Find the value of a and …

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Find the value of a and b for which the following systems of linear equation has infinite no. of solution, 2x+3y=7,2ax+(a+b)y=28

Posted by Yash Deo 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Asmita Joshi 6 years, 10 months ago

a1/a2=2/2a b1/b2=3/(a+b) c1/c2=7/28 In the case of infinitely many solutions, a1/a2=b1/b2=c1/c2 Therefore, 2/2a=7/28 -> 1/a=1/4 -> a=4 Also, 3/a+b=7/28 where a=4 -> 3/4+b=1/4 -> 12=4+b -> b=12-4 -> b=8

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CBSE > Class 10 > Mathematics