(d-1)/5=(d+1)/3

Question

ayuda porfavor es urgente

Answer 1

The problem is (d-1)/5 = (d+1)/3.

Whatever you do to one side of the equation, you must do to the other side.

Flip the ratio on the left side, and multiply to get 1.

5/(d-1) x (d-1)/5 = (d+1)/3  x 5/(d-1)

5(d-1)/5(d-1) = 5(d+1)/3(d-1)

1 = 5(d+1)/3(d-1)

1= 5d+5 / 3d-3

3d-3 = 5d+5

3d-3+3=5d+5+3

3d=5d+8

3d-5d=5d-5d+8

-2d=8

d=8/-2

d=-4

Now check your answer in the equation.

(d-1)/5 = (d+1)/3

(-4-1)/5 = (-4+1)/3

(-5)/5 = (-3)/3

-1=-1

Done.

Answer 2

(d-1)/5 = (d+1)/3 d/5 - 1/5 = d/3 + 1/3 d/5 - d/3 = 1/3 + 1/5 (3d - 5d)/15 = (5 +3)/15 -2d/15 = 8/15 -30d = 120 -30d/-30 = 120/-30 d = -4