SOLUTION: If you could please let me know if I have this right, there is no example of this kind of particular problem in my book. Solve the equation: {{{ 5/x - 3/x = 3 }}} This is wha

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If you could please let me know if I have this right, there is no example of this kind of particular problem in my book. Solve the equation: {{{ 5/x - 3/x = 3 }}} This is wha      Log On


   

Question 18134: If you could please let me know if I have this right, there is no example of this kind of particular problem in my book.
Solve the equation: +5%2Fx+-+3%2Fx+=+3+
This is what I did, but I am not sure it is correct.

%28x%29+5%2Fx+-+%28x%29+3%2Fx+=++%28x%29+3%2F1+
5x+-+3x+=+3x
-2 = 3x
-2%2F3+=+x

If you could please let me know if i did this correctly, i would appreciate it from the bottom of my heart and the top of my grades.
Thanks ever so much,
Lizzy
Found 2 solutions by venugopalramana, Earlsdon:
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
If you could please let me know if I have this right, there is no example of this kind of particular problem in my book.
Solve the equation: +5%2Fx+-+3%2Fx+=+3+
This is what I did, but I am not sure it is correct.

%28x%29+5%2Fx+-+%28x%29+3%2Fx+=++%28x%29+3%2F1+
5x+-+3x+=+3x
-2 = 3x
-2%2F3+=+x

If you could please let me know if i did this correctly, i would appreciate it from the bottom of my heart and the top of my grades.
Thanks ever so much,
Lizzy
GREAT YOU HAVE DONE VERY WELL..LET ME SHOW SOME IMPROVEMENTS....
5x+-+3x+=+3xis what you have written .it should be 5x+-+3x+=+3x%2Ax
I AM SURE IT IS A SLIP IN TYPING AS THE LATER WORKING IS CORRECT
NOW ON TO A BETTER ALTERNATIVE...GOLDEN RULE LIZZY IS "LOOK FOR COMMON FACTORS"
we have 1/x common so take it out in the begining
we get from..+5%2Fx+-+3%2Fx+=+3+
=(1/x)(5-3)=3
or (1/x)2=3...cross multiplying 1*2=3*x..or x=2/3..as YOU HAVE GOT CORRECTLY..HOPE IT IS CLEAR..KEEP IT UP!!


Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well...think about this, you are subtracting two fractions 5%2Fx and 3%2Fx and you'll notice that they have a common the denominator of x, so, you can just subtract the two fractions.
5%2Fx+-+3%2Fx+=+3
%285-3%29%2Fx+=+3
2%2Fx+=+3 Multiply both sides by x.
2+=+3x Finally, divide both sides by 3.
2%2F3+=+x
The solution is x+=+2%2F3
Check: 5%2F%282%2F3%29+-+3%2F%282%2F3%29+=+15%2F2+-+9%2F2 = %2815-9%29%2F2+=+6%2F2 = 3 OK.