Question

Please help me to do this problem and give me the steps so that i can do in future by self
9.0-(x/2000)-(38x/19000)*(77/158)=8.6
FIND x

Answer 1

sir can you give me the ans
wer?

Answer 2

ok then please tell me what to do - what will i do with x/2000

Answer 3

9.0-(x/2000)-(38x/19000)*(77/158)=8.6

I would first simplify 38x/19000 by dividing top and bottom by 19
this makes it 2x/1000 Then factor 158 as 2*79 (to make 1000 a 2000)
\[ -\frac{x}{2000} - \frac{2x}{2000}\frac{77}{79}= 8.6-9.0 \]
multiply the first fraction by 79/79 to get a common denonimator
\[ -\frac{x}{2000}\frac{79}{79} - \frac{2x}{2000}\frac{77}{79}= -0.4 \]
\[ - \frac{233x}{2000 \cdot 79} = -\frac{2}{5} \]

now multiply both sides by -2000*79/233
\[ x= \frac{2}{5}\cdot \frac{2000 \cdot 79}{233} \]
\( x= 271 \frac{57}{233} \)

Answer 4

Does this make sense?

Answer 5

sir i got it till -233x/2000*79=-0.4 but in next step you mentioned this -0.4 as 2/5 -why please can you tell me

Answer 6

-0.4 is the same as \( -\frac{4}{10} \) or \(- \frac{2}{5} \)

Answer 7

yes sir - i got it and thanks a lot for the help - is there a simpler way to do it as i keep forgetting the long process - however thanks and a great help

Answer 8

There is no really simple way. Maybe if you use a calculator, but I doubt it....