SOLUTION: I have the answer key to these problems, but I am having trouble with all of the steps since the answers are fractions! 1/m + 4m/(m+1) = 4 final answer is: m = 1/3 and

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have the answer key to these problems, but I am having trouble with all of the steps since the answers are fractions! 1/m + 4m/(m+1) = 4 final answer is: m = 1/3 and       Log On


   



Question 72441: I have the answer key to these problems, but I am having trouble with all of the steps since the answers are fractions!
1/m + 4m/(m+1) = 4 final answer is: m = 1/3
and
5/(p-1) - 3/(p+2) = 0 final answer is: p = -13/2
Help!!!

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
1/m + 4m/(m+1) = 4 final answer is: m = 1/3
1%2Fm%2B4m%2F%28m%2B1%29=4 The LCD is m(m+1) multiply each term by the LCD.
1%2Am%28m%2B1%29%2Fm%2B4m%2Am%28m%2B1%29%2F%28m%2B1%29=4%2Am%28m%2B1%29

%28m%2B1%29%2B4m%5E2=4m%5E2%2B4m
m%2B1%2B4m%5E2-4m%5E2=4m%5E2-4m%5E2%2B4m
m%2B1=4m
m-m%2B1=4m-m
1=3m
1%2F3=3m%2F3
1%2F3=m
highlight%28m=1%2F3%29 You're right!!!! Good job!!!!
:
5/(p-1) - 3/(p+2) = 0 final answer is: p = -13/2
5%2F%28p-1%29-3%2F%28p%2B2%29=0 The LCD is (p-1)(p+2), multiply each term by the LCD.


5%28p%2B2%29-3%28p-1%29=0
5p%2B10-3p%2B3=0
2p%2B13=0
2p%2B13-13=0-13
2p=-13
2p%2F2=-13%2F2
highlight%28p=-13%2F2%29 You're right again!!!!
2 for 2 ain't bad!!!!
Happy Calculating!!!!