Question

Solve the equation: 2/5 - 3/x = 1/(5x)

Answer 1

\[\frac{ 2 }{ 5 } - \frac{ 3 }{ x } = \frac{ 1 }{ 5x }\]
what's the LCD?

Answer 2

I don't know

Answer 3

\[\frac{ 2 }{ 3 } +\frac{ 7 }{ x } + \frac{ 32 }{ 6x }\]
the LCD would be 6x for all the denominators can multiply into 6x
3 * 2x | x * 6 | 6x * 1 |

Answer 4

what ever you multiply the denominator by you HAVE to multiply the same number to the numerator.

Answer 5

x=8 ?

Answer 6

let's go back to the original equation and look at that in the denominator what is the highest number they can all equal? 5, x, and 5x

Answer 7

lowest number*

Answer 8

1?

Answer 9

touche -.-" lol i meant without dividing 5, x and 5x can ALL equal 5x

Answer 10

I have no idea ;'(

Answer 11

2/5 is equivalent to (2x)/(5x) if you multiply top and bottom by x

-3/x is equivalent to 15/(5x) if you multiply top and bottom by 5


Notice how they now have the same denominator of 5x


This means

2/5 - 3/x = 1/(5x)

is the same as

(2x)/(5x) - 15/(5x) = 1/(5x)

which allows you to combine the two fractions on the left side to get

(2x - 15)/(5x) = 1/(5x)

What's next?

Answer 12

any ideas?

Answer 13

aaahhhhhh

Answer 14

yes? no?

Answer 15

If two fractions are equal, and their denominators are equal, then the numerators must be equal

Answer 16

so this means that if

(2x - 15)/(5x) = 1/(5x)

then

2x-15 = 1

Answer 17

if 2x - 15 = 1, then x = ???

Answer 18

8?

Answer 19

you got it

Answer 20

Thank youu

Answer 21

yw