SOLUTION: Solve and check equation for x. x/6 - x/8 = 1 This is what I have, but am not sure if I am on the right track. LCD=24 24 * x/6 - 24 * x/8 = 24 * 1 4x-3x = 24

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve and check equation for x. x/6 - x/8 = 1 This is what I have, but am not sure if I am on the right track. LCD=24 24 * x/6 - 24 * x/8 = 24 * 1 4x-3x = 24       Log On


   

Question 106577This question is from textbook Beginning Algebra
: Solve and check equation for x.
x/6 - x/8 = 1
This is what I have, but am not sure if I am on the right track.
LCD=24
24 * x/6 - 24 * x/8 = 24 * 1
4x-3x = 24
x=24
Then to check, you input 24 in the place of x
?
24/6 - 24/8 = 1
6*4=24 - 8*3=24

24/24=1
24/24=1
True.
Did I do this right, or did I mess it all up? This question is from textbook Beginning Algebra

Found 3 solutions by Earlsdon, MathLover1, stanbon:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Your solution is absolutely correct!
I didn't quite understand your method of checking the solution though.
I was taught this way!
x%2F6-x%2F8+=+1 Substitute x = 24.
24%2F6+-+24%2F8+=+1 Reduce the two fractions.
4+-+3+=+1
1+=+1 Done!

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
you did it good, but you can put it together this way too:
x%2F6 – %28x%2F8%29= 1
LCD=24 ….this is ok

%284x-3x%29%2F24=1…..multiply by 24
4x-3x+=+24
x=24+
Then to check, you input 24 in the place of x
24%2F6+-%28+24%2F8%29+=+1+
4 –3= 1
1+=+1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve and check equation for x.
x/6 - x/8 = 1
This is what I have, but am not sure if I am on the right track.
LCD=24
24 * x/6 - 24 * x/8 = 24 * 1
4x-3x = 24
x=24
Then to check, you input 24 in the place of x
?
24/6 - 24/8 = 1
NEXT LINE SHOULD BE
4 -3 = 1
1 = 1
===============
Cheers,
Stan H.