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

Algebra.Com's Answer #159496 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve (find the value for the given variable) Show all work and check answers.
\n" ); document.write( "Assume it's (brackets would help alot)
\n" ); document.write( "\"%28%28a%2B1%29%29%2F6\" = \"2%2Fa\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "a(a+1) = 2*6
\n" ); document.write( "a^2 + a = 12
\n" ); document.write( "a^2 + a - 12 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(a-3)(a+4) = 0
\n" ); document.write( "a=-4
\n" ); document.write( "a=+3
\n" ); document.write( "I'll let you check both solutions in the original equation
\n" ); document.write( ":
\n" ); document.write( "\"5%2F%28%283x%2B1%29%29\" = \"3%2F%28%283x-1%29%29\"
\n" ); document.write( "cross multiply
\n" ); document.write( "5(3x-1) = 3(3x+1)
\n" ); document.write( "15x - 5 = 9x + 3
\n" ); document.write( "15x - 9x = 3 + 5
\n" ); document.write( "6x = 8
\n" ); document.write( "x = \"8%2F6\"
\n" ); document.write( "x = 1\"1%2F3\"
\n" ); document.write( ":
\n" ); document.write( "Check solution by substituting 8/6 in original equation
\n" ); document.write( "
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