document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234195>Question 234195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution set to the following equations:  3x-2y=4,4x+5y=28 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172711 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=172711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the solution set to the following equations: <BR>\n" );
document.write( "3x-2y=4<BR>\n" );
document.write( "4x+5y=28<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Multiply thru the 1st equation by 5; Multiply thru the 2nd by 2<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "15x-10y=20<BR>\n" );
document.write( "8x+10y=56<BR>\n" );
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document.write( "Add the two equations and solve for \"x\":<BR>\n" );
document.write( "23x = 76<BR>\n" );
document.write( "x = 76/23<BR>\n" );
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document.write( "Substitute into 3x-2y = 4 to solve for \"y\":<BR>\n" );
document.write( "3(76/23) - 2y = 4<BR>\n" );
document.write( "(228/23) - 2y = (92/23)<BR>\n" );
document.write( "2y = 136/23<BR>\n" );
document.write( "y = 68/23<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );