Question

7/9x+7/45=1/5x-1/15. Please show how to solve and explain steps to solve.

Answer 1

Can anyone help with this problem?

Answer 2

\(\frac{7x}{9} + \frac{7}{45} = \frac{1x}{5} - \frac{1}{15}\)

Is this the question? :)

Answer 3

The "x"'s in both of the fractions go to the right. Like this:
\[\frac{ 7 }{ 9 }x+\frac{ 7 }{ 45 }=\frac{ 1 }{ 5 }x-\frac{ 1 }{ 15 }\]

Answer 4

Hehe...It means the same thing! :D

Answer 5

Oh ok. Can you show me how to solve it?

Answer 6

Sure! :)

Take all the terms consisting x onto the other side like this:

\[\frac{ 7x }{ 9 } - \frac{ x }{ 5 } = \frac{ -7 }{ 45 } - \frac{ 1 }{ 15 }\]

NOW TAKE LCM ON BOTH SIDES [45]

\[\frac{ 35x - 9x }{ 45 }= \frac{ -7 - 3 }{ 45 }\]

MULTIPLY BY 45

\[35x - 9x = -10\]

SOLVE SIMPLY

26x = -10

x = \(\frac{-10}{26}\)

SIMPLIFY NOW! :)

Understood? :)

Answer 7

Only thing I don't understand is the part of -7-3. How did you get -7 and -3?

Answer 8

Nevermind. I figured it out.

Answer 9

Did you understand the question then?

Answer 10

Yes. Thank you.

Answer 11

:)