SOLUTION: I just want to check and see if I have a right answer? Thank you! Solve rational equations from textbook 1.Solve x-5/x+3=1/6 6(x-5)=1(x+3) 6x-30=1x+3 5x=33 x=33/5 2.Solve

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I just want to check and see if I have a right answer? Thank you! Solve rational equations from textbook 1.Solve x-5/x+3=1/6 6(x-5)=1(x+3) 6x-30=1x+3 5x=33 x=33/5 2.Solve      Log On


   

Question 210317: I just want to check and see if I have a right answer? Thank you!
Solve rational equations from textbook
1.Solve
x-5/x+3=1/6
6(x-5)=1(x+3)
6x-30=1x+3
5x=33
x=33/5
2.Solve
x-2/x+2=5/7
7(x-2)=5(x+2)
7x-14=5x+10
2x=24
24/2
x=12
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Your work is correct.
Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You got them both right. Good job.


To verify your answer, simply plug the solution into the original equation and simplify. If you get a true equation (like 2=2 for example), then the answer is definitely a solution which verifies it.

So for example, let's say we want to verify the second problem:




%28x-2%29%2F%28x%2B2%29+=+5%2F7 Start with the given equation.


%2812-2%29%2F%2812%2B2%29+=+5%2F7 Plug in x=12


10%2F14+=+5%2F7 Combine like terms.


5%2F7+=+5%2F7 Reduce


Since the equation is true, the solution x=12 is verified.