1.

If one is added to the numerator and four is subtracted from the denominator, thefraction becomes 1. Represent this situation in the form of a linear equation in twovariables. Also , find two solutions for the same.

Answer»

let the numerator be x and denominator be y.So, the fraction is x/yaccording to question, (x+1) /(y-4) = 1So, x+1 = y-4which gives, y=x+5 as the required equation We can find any two solutions for x and y.1. putting x=1, we find y=6 .So, (1,6) is a solution 2.putting x=2 , we find y=7. So, (2,7) is also a solution.In fact, we plot the graph of given equation and select any point on the line which is a solution.



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