So I’ve come to this-
(abx)/(abx+c)=d/e
-and I need to solve for “x” and I’m stumped. Sure I could look it up and figure it out, but then what would you guys do?
So I’ve come to this-
(abx)/(abx+c)=d/e
-and I need to solve for “x” and I’m stumped. Sure I could look it up and figure it out, but then what would you guys do?
(abx)/(abx+c)=d/e
abx*e = (abx+c)*d
abex = abdx + cd
abex - abdx = cd
x(abe-abd) = cd
x = cd / (abe-abd)
nice going. i would have done step 2 in two phases. dunno, i’m slow when it comes to transposition.
I’ll sing your praises into perpuity, The Hamster King.
Also, I’m an idiot for not seeing that.
Key #1: cross multiply to get rid of those nasty denominators.
Key #2: get all the terms containing your desired variable grouped on one side, such that you can factor it out of them all. Divide out the terms left over, and you’re done.
Is it weird that I would go one step further and change it to x=ab(e-d)? I always try to limit repeated variables, as they add the chance for errors in the substitution process.
It’s worth mentioning that Wolfram Alpha is great for this sort of thing. Here’s a step-by-step solution of your problem.
It’s kinda weird that the numerator disappeared and the denominator moved up top. Unless I’m missing something myself.
No. I just forgot to type the numerator.