document.write( "Question 1082260: hi can you help me understand how multiplying fractions by LCM simplifies this linear equation ?
\n" ); document.write( "even though i know how to do it but i dont understand how it works
\n" ); document.write( "this is a direct copy from a book
\n" ); document.write( "step 1\"+3x%2F2+=+x%2F5+-+39%2F5\"
\n" ); document.write( "step 2\"+%2810%293x%2F2+=+%2810%29x%2F5+-+%2810%29+39%2F5\"
\n" ); document.write( "result \"+15x+=+2x+-+78\"
\n" ); document.write( "\"+x+=+-6\"\r
\n" ); document.write( "\n" ); document.write( "my main problem with this is that when we multiply all the fractions by 10 it also has effects on the term x so i dont understand why it dosent change the result if you can please explain step by step how it works thanks.
\n" ); document.write( "

Algebra.Com's Answer #696352 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "hi can you help me understand how multiplying fractions by LCM simplifies this linear equation ?
\n" ); document.write( "even though i know how to do it but i dont understand how it works
\n" ); document.write( "this is a direct copy from a book
\n" ); document.write( "step 1\"+3x%2F2+=+x%2F5+-+39%2F5\"
\n" ); document.write( "step 2\"+%2810%293x%2F2+=+%2810%29x%2F5+-+%2810%29+39%2F5\"
\n" ); document.write( "result \"+15x+=+2x+-+78\"
\n" ); document.write( "\"+x+=+-6\"\r
\n" ); document.write( "\n" ); document.write( "my main problem with this is that when we multiply all the fractions by 10 it also has effects on the term x so i dont understand why it dosent change the result if you can please explain step by step how it works thanks.
\n" ); document.write( "
\"3x%2F2+=+x%2F5+-+39%2F5\"
\n" ); document.write( "\"10%283x%2F2%29+=+10%28x%2F5%29+-+10%2839%2F5%29\" --------- Multiplying EACH TERM by LCD, 10
\n" ); document.write( " ---- Cancelling denominators with numerators
\n" ); document.write( "5(3x) = 2(x) - 2(39)
\n" ); document.write( "15x = 2x - 78
\n" ); document.write( "15x - 2x = 78
\n" ); document.write( "13x = 78
\n" ); document.write( "\"highlight_green%28matrix%281%2C3%2C+x%2C+%22=%22%2C+-+6%29%29\" \n" ); document.write( "
\n" );