Solving equation G = 1/8p(e - q) for e (check ans plz)

[warriorchick1506]

the question says solve for e and the equation is this: G=1/8p(e-q)

i had th eanswer e= -1/8g+pq all over p again. I used the distributive property for p(e-q) is that wrong?

thanks!

Jess

 

[soroban]

Re: i don't know how to solve for e!

Hello, warriorchick1506!

There are two ways to red the problem . . .

The question says solve for e and the equation is this: G = 1/8p(e-q)

\(\displaystyle \text{Is that: }\;G \;=\;\frac{1}{8}p(e-q)\quad\hdots\quad\text{ or: }\;G \;=\;\frac{1}{8p(e-q)}\)


\(\displaystyle \text{If it is: }\:G \:=\:\frac{1}{8}p(e-q)\)

\(\displaystyle \text{Multiply both sides by 8: }\;8G \:=\e - pq \quad\Rightarrow\quad pe \:=\:8G + pq \quad\Rightarrow\quad e \:=\:\frac{8G + pq}{p}\)


\(\displaystyle \text{If it is: }\;G \:=\:\frac{1}{8p(e-q)}\)

\(\displaystyle \text{Multiply both sides by }8p(e-q)\!:\;\;8pG(e-q) \:=\:1 \quad\Rightarrow\quad 8pGe - 8pqG \:=\:1\)

. . \(\displaystyle 8pGe \:=\:8pqG + 1 \quad\Rightarrow\quad e \:=\:\frac{8pqG + 1}{8pG}\)