Question

Show all steps to simplify each of the following rational expressions: 2x+6/3x-1+x+5/3x-1
Please help and explain I really want to know how to do this problem along with two others!!!! desperate!!

Answer 1

1. (2x+6)/(3x-1)+(x-5)/(3x-1)

Factor out the GCF of 2 from each term in the polynomial.
(2(x)+2(3))/(3x-1)+(x-5)/(3x-1)

Factor out the GCF of 2 from 2x+6.
(2(x+3))/(3x-1)+(x-5)/(3x-1)

The numerators of expressions that have equal denominators can be combined. In this case, (2(x+3))/((3x-1)) and ((x-5))/((3x-1)) have the same denominator of (3x-1), so the numerators can be combined.
(2(x+3)+(x-5))/(3x-1)

Simplify the numerator of the expression.
(2x+6+x-5)/(3x-1)

Combine all similar terms in the polynomial 2x+6+x-5.
(3x+1)/(3x-1)

Answer 2

You are a life saver and also really good at explaining things!Thank you soooooo much. I have another one if you think you could help with it also?

Answer 3

Let's do it cx

Answer 4

3/y+4-2/y

Answer 5

@Brostep0s also I wanted to message you about something but I couldnt because you arent my fan!

Answer 6

hmu

Answer 7

hey can you help me with that other problem? @Brostep0s

Answer 8

sure can