Question

Show all work to simplify [(1/x)+(3/8)=(1/2)]

Answer 1

\( \color{Black}{\Rightarrow \Large{1 \over x} + {3 \over 8} = {1 \over 2} }\)

\( \color{Black}{\Rightarrow \Large{1 \over x} = {1 \over 2} - {3 \over 8} }\)

Do you understand it till this step?

Answer 2

yeah you just moved it around. i get that

Answer 3

Very good. Now, what is \(\Large {1 \over 2} - {3 \over 8}?\)

Answer 4

1/8

Answer 5

Correct!

Answer 6

Now \(\Large {1 \over x} \normalsize = \Large{1 \over 8}\). Can you tell me what \(x\) is?

Answer 7

i think so, hold on

Answer 8

actually can you explain to me how to solve that. im confused:/

Answer 9

You just multiply both sides by \(x\), and then multiply both sides by \(8\).

Answer 10

(1/x)+(3/8)=(1/2)
(1/x)+(3/8)-(3/8)=(1/2)-(3/8)
(1/x)=(4/8)-(3/8)
(1/x)=(1/8)
x=8

Answer 11

So:

\( \color{Black}{\Rightarrow 1 = \Large{x \over 8} }\)

Answer 12

Now if you actually try to multiply 8 to both sides, you'd get \(x = 8 \times 1\)

Answer 13

ahh i think i understand now. i neeed help with another problem tho..

Answer 14

\(8 \times 1 = 8\), so \(x = 8\).

Answer 15

@joemost Sure, post it in a new one :)

Answer 16

just posted it