I really need help .. solve the equation.
story of my life
haha
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.
this is how i would do question one...
??
\[\frac{x}{4}=\frac{x}{9} + \frac{5}{4}\] 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 \[x = \frac{45}{5}\] \[x = 9\]
any stage you dont understand?
i understood all of it :) what about the next one? it seems more complex
is the first bit (9x/4) - x or 9x/(4-x) ?
its just the fraction 9x/4 then -x .. theres no parentheses or anything so its just 9x/4-x
cool
you have a go at this one. get all the x's on one side first.
ok if i do that then it will be 9x/4-x-x/32=-7/8 right?
exactly right. okay you can take the quick daring way, or the slow easy way. pick :)
(i did the slow easy way last time)
haha umm.. i dont know lets try quick daring way :)
good, alright so we have \[\frac{9x}{4} - x -\frac{x}{32} = -\frac{7}{8}\]
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
because that equation is equivilant to this... \[\frac{9}{4}\times x - 1 \times x -\frac{1}{32}\times x = -\frac{7}{8}\]
do you see how they are the same?
ok i gatcha so farr
sorry stupid website logged me out
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!
now we just have x times some other stuff. so we can divide both sides by the other stuff.
which is abit messy but is certainly quicker
\[x = -\frac{7}{8(\frac{9}{4}\ - 1 -\frac{1}{32})}\]
\[x = -\frac{7}{8(4.5 - \frac{33}{33} -\frac{1}{32})}\]
\[x = -\frac{7}{8(4.5 - \frac{32}{33})}\]
\[x = -\frac{7}{36 - \frac{256}{33}}\]
\[x = -\frac{7} {\frac{1188}{36} - \frac{256}{33}}\]
\[x = -\frac{7} {\frac{932}{33}}\]
sorry those others should have been 33 on the bottom not 36
i think ive messed it up lol oops sorry. Do the first easy and slow way instead :P
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