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

Algebra.Com's Answer #159162 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
\"%28a%2B1%29%2F6+=+2%2Fa+\" multiply both sides by a to clear the denominator on the right
\n" ); document.write( "\"a%2A%28a%2B1%29%2F6+=+2\" multiply both sides by 6 to clear the denominator on the left
\n" ); document.write( "\"a%2A%28a%2B1%29+=+12\" expand the left side
\n" ); document.write( "\"a%5E2+%2B+a+=+12\" subtract 12 from both sides
\n" ); document.write( "\"a%5E2+%2B+a+-+12+=+0\" 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
\n" ); document.write( "\"%28a%2B4%29%28a-3%29+=+0\" in order for a product to be 0, one or more terms in the product must be 0. So in our case, either \"a%2B4+=0\" or \"a-3=0\"
\n" ); document.write( "So solving those two equations, says either \"a=-4\" or \"a=3\" are solutions to the problem.\r
\n" ); document.write( "\n" ); document.write( "Substitute those values for a into the original equation to check your answers.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2)Use the same steps as above.
\n" ); document.write( "\"5%2F%283x%2B1%29+=+3%2F%283x-1%29\" Clear right side denominator
\n" ); document.write( "\"%285%2A%283x-1%29%29%2F%283x%2B1%29+=+3\" Clear left side denominator
\n" ); document.write( "\"5%2A%283x-1%29+=+3%2A%283x%2B1%29\" this time, expand both sides
\n" ); document.write( "\"15x+-5+=+9x+%2B+3\" collect like terms
\n" ); document.write( "\"15x+-+9x+=+3+%2B+5\" simplfy
\n" ); document.write( "\"6x+=+8\" divide both sides by 6
\n" ); document.write( "\"+x+=+8%2F6\"
\n" ); document.write( "\"x+=+4%2F3\" simplify\r
\n" ); document.write( "\n" ); document.write( "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)
\n" ); document.write( "
\n" );