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Pair of Linear Equations in Two Variables
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27/05/2021 11:47 am
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Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:
If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes if we only add 1 to the denominator. What is the fraction?
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27/05/2021 11:49 am
Let the fraction be a/b
According to the given information,
(a+1)/(b-1) = 1
=> a – b = -2 ………………..(i)
a/(b+1) = 1/2
=> 2a-b = 1 …………………(ii)
When equation (i) is subtracted from equation (ii) we get,
a = 3 ……………………..(iii)
When a = 3 is substituted in equation (i) we get,
3 – b = -2
-b = -5
b = 5
Hence, the fraction is 3/5.