Question

can someone show me the steps to the answer, i have the answer but need to see it written out. 4/x=9/5-7x-4/5x

Answer 1

what answer do you have?

Answer 2

answer is 8

Answer 3

How did you get your answer without doing any steps?

Answer 4

i just happened to guess the right answer because i didnt know it

Answer 5

\[\frac{ 4 }{ x }=\frac{ 9 }{ 5 }-\frac{ 7x-4 }{ 5x }\]

Answer 6

Is that the problem you were given? You are just restating it clearly?

Answer 7

yes, so its easier to understand

Answer 8

that's a good idea... the problem wasn't clear when typed out as text.

Answer 9

@sue101 , you can explain if you'd like...

Answer 10

i know, but it wont let me input the correct equation initially

Answer 11

i know... no worries... just saying it was good to clarify.

Answer 12

thank you

Answer 13

can you get a common denominator on the right side of the equation?

Answer 14

oh go ahead

Answer 15

Here's what I would do...

On the right side of the equation, get a common denominator...

\[\frac{ 9 }{ 5 } - \frac{ 7x-4 }{ 5x }\]

Answer 16

is it 5 ?

Answer 17

then multiply the first term by (x/x) to get 9x/5x

Then you can find 9x/5x - (7x-4)/5x = [ 9x - (7x-4) ] / 5x
simplify to (2x +4)/5x

That is the right side of the equation.

Answer 18

ahh, making more sense

Answer 19

so overall...

4/x = (2x+4)/5x

Multiply both sides by x:

(4/x)(x) = (x)(2x+4)/5x

Cancel the x's on the left and right:

4 = (2x+4)/5

Then multiply both sides by 5:

4(5) = (5)(2x+4)/5 = 2x+4

20 = 2x + 4
Subtract 4 from both sides:

20-4 = 2x
16 = 2x

Divide both sides by 2
8 = x

so x = 8

Answer 20

when you multiply the x's, why do they cancelout

Answer 21

nevermind, i actually get it :-)

Answer 22

thank you so much!!

Answer 23

Glad to help... so you understand the process pretty well now? Think you can take a shot at the next one? It's ok to read my solution, but you really learn it when you try working through it first on your own :)

Good luck!