Need help on #3 Please help me on my hw

Question

asked Jul 13, 2023 188k views

1 Answer

Elley · Answer 1 · 2023-07-17T19:10:34+0000

$(6)/(6+12x)\\e(1)/(1+12x)$

Factor the left hand side:

$\begin{gathered} (6)/(6)\cdot(1)/(1+2x)\\e(1)/(1+12x) \\ (1)/(1+2x)\\e(1)/(1+12x) \\ \end{gathered}$

$1+12x\\e1+2x$

Subtract 2x from both sides:

$\begin{gathered} 1+12x-2x\\e1+2x-2x \\ 1+10x\\e1 \end{gathered}$

Sutract 1 from both sides:

$\begin{gathered} 1+10x-1\\e1-1 \\ 10x\\e0 \end{gathered}$

Divide both sides by 10:

$\begin{gathered} (10x)/(10)\\e(0)/(10) \\ x\\e0 \end{gathered}$

Therefore, the equation is correct for every x different from 0.