Question 146882
{{{3/r+4-1/r=1/r}}} Start with the given equation



{{{cross(r)(3/cross(r))+r*4-cross(r)(1/cross(r))=cross(r)(1/cross(r))}}} Multiply <b>every</b> term by the LCD r to clear the fractions.



{{{3+4r-1=1}}} Multiply and simplify.



{{{4r+2=1}}} Combine like terms on the left side.



{{{4r=1-2}}} Subtract {{{2}}} from both sides.



{{{4r=-1}}} Combine like terms on the right side.



{{{r=(-1)/(4)}}} Divide both sides by {{{4}}} to isolate {{{r}}}.



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Answer:


So the answer is {{{r=-1/4}}} 



Which approximates to {{{r=-0.25}}}