Question

(Algebra II) x/a - 5 = b
Solve for X, find any restrictions.
Please help!!

Answer 1

Is the equation

\[\Large \frac{x}{a} - 5 = b\]

OR

\[\Large \frac{x}{a - 5} = b\]

??

Answer 2

It's the first equation :)

Answer 3

@jim_thompson5910

Answer 4

start by adding 5 to both sides

\[\Large \frac{x}{a} - 5 = b\]

\[\Large \frac{x}{a} -5+5= b+5\]

\[\Large \frac{x}{a} = b+5\]

Answer 5

what's next?

Answer 6

@jim_thompson5910 I wanna say multiply each side by something, I think multiply by x or a on both sides but I'm not sure.

Answer 7

you want to keep 'x' on the left side

Answer 8

so you have to multiply both sides by 'a'

Answer 9

@jim_thompson5910 Ahhh okay :)!

Answer 10

\[\Large \frac{x}{a} = b+5\]

\[\Large a\left(\frac{x}{a}\right) = a(b+5)\]

\[\Large \cancel{a}\left(\frac{x}{\cancel{a}}\right) = a(b+5)\]

\[\Large x = a(b+5)\]

Answer 11

Optionally, you can distribute the right side, but it's not necessary

Answer 12

@jim_thompson5910 I see it now, thank you very much!! :) Helped a lot. I'll try to apply that to my other problems as well! :)

Answer 13

alright great, yw