document.write( "Question 102874This question is from textbook mathematics course 2 Structur and Method
\n" ); document.write( ": I am working on solving equations using several transformations and I can't figure out this problem.\r
\n" ); document.write( "\n" ); document.write( "1/2b + 3/5 = 2b - 9/10\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #74830 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Solve for b:
\n" ); document.write( "\"%281%2F2%29b%2B3%2F5+=+2b-9%2F10\" Multiply through by the LCD of 10.
\n" ); document.write( "\"10%28%281%2F2%29b%2B3%2F5%29+=+10%282b-9%2F10%29\" Simplify.
\n" ); document.write( "\"5b%2B6+=+20b-9\" Subtract 5b from both sides.
\n" ); document.write( "\"6+=+15b-9\" Add 9 to both sides.
\n" ); document.write( "\"15+=+15b\" Finally, divide both sides by 15.
\n" ); document.write( "\"1+=+b\"
\n" ); document.write( "Check: Substitute b = 1.
\n" ); document.write( "\"%281%2F2%29%281%29%2B3%2F5+=+2%281%29-9%2F10\"
\n" ); document.write( "\"5%2F10+%2B+6%2F10+=+20%2F10+-+9%2F10\"
\n" ); document.write( "\"11%2F10+=+11%2F10\" OK!
\n" ); document.write( "
\n" );