A fraction equals 1/2 if 1 is subtracted from both the numerator and denominator . t is equal 2/3 if 1 is added to both the numerator and denominator. Find the

Question

Solve with subsitution or elimination method

Answer 1

If subtracting one, the denominator is twice the numerator. If adding one, the denominator is 3/2 the numerator.

 

2(n - 1) = d - 1

3(n + 1) = 2(d + 1)

 

2n - 2 = d - 1

3n + 3 = 2d + 2

 

d = 2n - 1

3n - 2d = -1

 

Substitute!

 

3n - 2(2n - 1) = -1

 

Solve for n, then plug your answer into the first equation to solve for d, then combine them for your fraction.