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

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) (Show Source): You can put this solution on YOUR website!
Your work is correct.
Cheers,
Stan H.

Answer by jim_thompson5910(35256) (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:

Start with the given equation.

Plug in

Combine like terms.

Reduce

Since the equation is true, the solution is verified.
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