SOLUTION: These are extra problems I need help to understand to bring up my grade please help I don't get it Find the value for the given variable Show all steps and check answers showing a

Question 210664: These are extra problems I need help to understand to bring up my grade please help I don't get it
Find the value for the given variable Show all steps and check answers showing all work. Not sure how to type in the problem.
a+1/6 = 2/a or a+1 over 6 = 2 over a
and
5/3x+1 = 3/3x-1 or 5 over 3x+1 = 3 over 3x-1

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
multiply both sides by a to clear the denominator on the right
multiply both sides by 6 to clear the denominator on the left
expand the left side
subtract 12 from both sides
factor or use the quadratic equation. Here is a good URL to help check your factoring -->http://72.3.253.76:8080/webMathematica3/quickmath/page.jsp?s1=algebra&s2=factor&s3=basic
in order for a product to be 0, one or more terms in the product must be 0. So in our case, either or
So solving those two equations, says either or are solutions to the problem.
Substitute those values for a into the original equation to check your answers.

2)Use the same steps as above.
Clear right side denominator
Clear left side denominator
this time, expand both sides
collect like terms
simplfy
divide both sides by 6

simplify
Here is a great website for math. You can use it to verify your work. For this problem the URL is --> http://www.wolframalpha.com/input/?i=5%2F(3x%2B1)+%3D+3%2F(3x-1)
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