Question

fraction becomes

1

4

when 2 is subtracted from the numerator and 3 is added to the

denominator. Represent this situation as a linear equation in two variables.

Answer 1

Let the numerator be x
Let the denominator be y

fraction = x/y

According to the question,
If 2is subtracted from the numerator,then numerator become (x-2)

If 3 is added to the denominator,then denominator become (y+3)

By adding and subtracting the fraction is 1/4
The equation is:

(x-2)/(y+3) = 1/4

4(x-2) = 1(y+3)

4x-8 = y+3

4x-y-11 = 0

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