document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280340>Question 280340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10a + 2b = 15 and 5a = 4b, what is the value of a + b? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203840 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=203840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 10a + 2b = 15<BR>\n" );
document.write( "5a - 4b = 0<BR>\n" );
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document.write( "Multiply 2nd equation by 2 and then subtract<BR>\n" );
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document.write( "10a + 2b = 15<BR>\n" );
document.write( "10a - 8b = 0<BR>\n" );
document.write( "10b = 15<BR>\n" );
document.write( "b = 1.5<BR>\n" );
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document.write( "5a = 4b<BR>\n" );
document.write( "5a = 4*1.5 = 6<BR>\n" );
document.write( "a = 1.2<BR>\n" );
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document.write( "Checking...does 10a + 2b = 15?<BR>\n" );
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document.write( "10a = 10*1.2= 12<BR>\n" );
document.write( "2b= 2*1.5 = 3<BR>\n" );
document.write( "12+3 = 15<BR>\n" );
document.write( "Check.<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "a + b = 1.2+1.5 = 2.7<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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