Question

Can you assist me with this please?
Screepcap in comments

Answer 1

show what you have done so far

Answer 2

I haven't done anything, I don't really understand the question to be honest. If you could help me with a step by step process I'd really appreciate it.

Answer 3

Ok, first we have the problem below and we want to isolate x, i.e. find an expression for x in terms of "a" and "b".
\[\frac{5a}{x} = \frac{5b}{x-1}\]

Answer 4

How do I do that? o.o

Answer 5

the fist step is to multiply both sides by \(x(x-1)\), so we get:
\[x(x-1)\frac{5a}{x} = x(x-1)\frac{5b}{x-1}\]
\[5a(x-1) = 5bx\]

Answer 6

now you expand the parethesis:
\[5ax - 5a = 5bx\]
\[5ax - 5bx = 5a\]
\[5x(a-b) = 5a\]
\[x(a-b) = a\]

Answer 7

now, what you do?

Answer 8

Get the x to the equal sign, so would I divide both sides by x?

Answer 9

No... now, in order to find and expression to x, that is, find something like this: "x = ...", just divide both sides by \(a-b\)

Answer 10

So we get \[x = \frac{a}{a-b}\]

Answer 11

That's a really complicated process, I kind of get it but for future references would you mind helping me to comprehend how you get an expression for the terms of "a" and "b".

Answer 12

Sure, but you should learn this, it's very important, you are going to use it everywhere in math

Answer 13

It's just a process of isolating x to one side and everything else to the other side

Answer 14

I'm not good at math at all, I've tried to learn all this, but I have serious troubles comprehending this type of stuff. I don't have a teacher because I'm homeschooled also so I'm sort of stuck with OpenStudy.