SOLUTION: Please help. with these two problems Thanks. I am confused Solve (find the value for the given variable) Show all work and check answers. a+1/6 = 2/a 5/3x+1 = 3/3x-1

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Question 211085This question is from textbook
: Please help. with these two problems Thanks. I am confused
Solve (find the value for the given variable) Show all work and check answers.
a+1/6 = 2/a
5/3x+1 = 3/3x-1
This question is from textbook

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Solve (find the value for the given variable) Show all work and check answers.
Assume it's (brackets would help alot)
=
Cross multiply
a(a+1) = 2*6
a^2 + a = 12
a^2 + a - 12 = 0
Factor
(a-3)(a+4) = 0
a=-4
a=+3
I'll let you check both solutions in the original equation
:
=
cross multiply
5(3x-1) = 3(3x+1)
15x - 5 = 9x + 3
15x - 9x = 3 + 5
6x = 8
x =
x = 1
:
Check solution by substituting 8/6 in original equation

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