6-5 solving rational equations 8/x+3=1/x+1

x = - 5/7

Step-by-step explanation:

8 / (x+3) = 1 / (x+1)

Using cross products

8 * (x+1) = 1 * (x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x + 8 = x+3-x

7x + 8 = 3

Subtract 8 from each side

7x+8-8 = 3-8

7x = - 5

Divide by 7

7x/7 = - 5/7

x = - 5/7