the answer is 
subtract 6x on both sides → 
divide both sides by -2y → 
Let the partitions of the segment be 5k and 3k .
.
5k+3k = length of segment
Suppose the length of segment is y
8k = y
k = y/8
.
Hence ,
5k = 5(y/8)
3k = 3(y/8)
.
As the value of the segment wasn't given , it seems a bit complicated..
.
Hope u understand!
It should be noted that the required amount that remaining for the credit card balance is $6300.
<h3>What is a credit card balance?</h3>
It should be noted that a credit card balance simply means the amount of charges that are owed to a credit card company.
From the information, the credit card has a limit of $9,500 and you have a current balance of $3,200. Therefore, the remaining balance will be:
= $9500 - $3200
= $6300
Learn more about credit card on:
brainly.com/question/8806649
Y=1/5x-3 (subtract x on each side then divide each by 6)