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Mathematics 8 Online
OpenStudy (anonymous):

I really need help .. solve the equation.

OpenStudy (anonymous):

story of my life

OpenStudy (anonymous):

haha

OpenStudy (anonymous):

I really cannot understand and get the correct answer. 1. x/4=x/9+5/4 2. 9x/4-x=x/32-7/8 solve the formula for the specific variable 3. F=9/5C+32 (solve for C) 4. A=P(1+nr) (solve for n) please help ! I already know the answers for them I just want to understand how to do them.

OpenStudy (anonymous):

this is how i would do question one...

OpenStudy (anonymous):

??

OpenStudy (anonymous):

\[\frac{x}{4}=\frac{x}{9} + \frac{5}{4}\] get all the x's together \[\frac{x}{4} - \frac{x}{9} = \frac{5}{4}\] now get rid of the fractions, i hate fractions! so multiply everything through by 4 or 9, im going to do 4 \[x -\frac{4x}{9} =\frac{20}{4}\] multiply everything through by 9 to get the other x term out of a fraction \[9x - 4x =\frac{180}{4}\] factor out the x's so i can just have one x \[x(9-4) = \frac{180}{4}\] tidy up abit. \[x5 = 45\] devide both by 5 \[x = \frac{45}{5}\] \[x = 9\]

OpenStudy (anonymous):

any stage you dont understand?

OpenStudy (anonymous):

i understood all of it :) what about the next one? it seems more complex

OpenStudy (anonymous):

is the first bit (9x/4) - x or 9x/(4-x) ?

OpenStudy (anonymous):

its just the fraction 9x/4 then -x .. theres no parentheses or anything so its just 9x/4-x

OpenStudy (anonymous):

cool

OpenStudy (anonymous):

you have a go at this one. get all the x's on one side first.

OpenStudy (anonymous):

ok if i do that then it will be 9x/4-x-x/32=-7/8 right?

OpenStudy (anonymous):

exactly right. okay you can take the quick daring way, or the slow easy way. pick :)

OpenStudy (anonymous):

(i did the slow easy way last time)

OpenStudy (anonymous):

haha umm.. i dont know lets try quick daring way :)

OpenStudy (anonymous):

good, alright so we have \[\frac{9x}{4} - x -\frac{x}{32} = -\frac{7}{8}\]

OpenStudy (anonymous):

because we have all the x's together and none are on the bottom of any fractions we can just pull them all out in one go

OpenStudy (anonymous):

because that equation is equivilant to this... \[\frac{9}{4}\times x - 1 \times x -\frac{1}{32}\times x = -\frac{7}{8}\]

OpenStudy (anonymous):

do you see how they are the same?

OpenStudy (anonymous):

ok i gatcha so farr

OpenStudy (anonymous):

sorry stupid website logged me out

OpenStudy (anonymous):

okay so now we can just pull all the x's out like this \[x(\frac{9}{4}\ - 1 -\frac{1}{32}) = -\frac{7}{8}\] sneaky right!

OpenStudy (anonymous):

now we just have x times some other stuff. so we can divide both sides by the other stuff.

OpenStudy (anonymous):

which is abit messy but is certainly quicker

OpenStudy (anonymous):

\[x = -\frac{7}{8(\frac{9}{4}\ - 1 -\frac{1}{32})}\]

OpenStudy (anonymous):

\[x = -\frac{7}{8(4.5 - \frac{33}{33} -\frac{1}{32})}\]

OpenStudy (anonymous):

\[x = -\frac{7}{8(4.5 - \frac{32}{33})}\]

OpenStudy (anonymous):

\[x = -\frac{7}{36 - \frac{256}{33}}\]

OpenStudy (anonymous):

\[x = -\frac{7} {\frac{1188}{36} - \frac{256}{33}}\]

OpenStudy (anonymous):

\[x = -\frac{7} {\frac{932}{33}}\]

OpenStudy (anonymous):

sorry those others should have been 33 on the bottom not 36

OpenStudy (anonymous):

i think ive messed it up lol oops sorry. Do the first easy and slow way instead :P

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