Question

Solve for x. x/6 - x/9 = 9/7

Answer 1

Ignore the variable for a second, what is \[\frac{ 1 }{ 6 }-\frac{ 1 }{ 9 }?\]

Answer 2

1/18 ?

Answer 3

Yeah, actually you can re-write it \[\frac{ x }{ 6 }-\frac{ x }{ 9 } = x(\frac{ 1}{ 6 }-\frac{ 1 }{ 9 })\]

so first

\[\frac{ 1 }{ 6}-\frac{ 1 }{ 7 }\]

Answer 4

sorry the 7 should not be there

Answer 5

Yes exactly, so we have \[\frac{ x }{ 18 } = \frac{ 9 }{ 7 }\]

Answer 6

Can you solve for x now?

Answer 7

23.14?

Answer 8

Yes that's right but we like things to be exact in math, \[x = \frac{ 18(9) }{ 7 } = \frac{ 162 }{ 7 }\]

Answer 9

oh ok! thanks so much! :)

Answer 10

Anytime!

Answer 11

apparently the answer was 54

Answer 12

Are you sure you put the question correctly? \[\frac{ x }{ 6 }-\frac{ x }{ 9 }=\frac{ 9 }{ 7 }\]

Answer 13

Because that is 162/7