document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103732>Question 103732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i know how to do linear combination, but i cannot get the right answer for this problem:<BR>\n" );
document.write( "2x+y+52=2y+50<BR>\n" );
document.write( "2x+y+52=x-3y+131\r<BR>\n" );
document.write( "\n" );
document.write( "I need help finding x and y.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75399 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=75399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+y+52=2y+50<BR>\n" );
document.write( "2x+y+52=x-3y+131 <BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Simplify each equation:<BR>\n" );
document.write( "1st: 2x -y = -2<BR>\n" );
document.write( "2nd: x +4y = 79<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Multiply 1st thru by 4 to get:<BR>\n" );
document.write( "3rd: 8x -4y = -8<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Add 2nd and 3rd to solve for x:<BR>\n" );
document.write( "9x =71<BR>\n" );
document.write( "x = 71/9<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Substitute into 2x-y = -2 to solve for y:<BR>\n" );
document.write( "2(71/9) - y = -2<BR>\n" );
document.write( "y = 142/9+18/9<BR>\n" );
document.write( "y = 160/9<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Checking in 2nd:<BR>\n" );
document.write( "71/9 + 4(160/9) = 79<BR>\n" );
document.write( "(71 + 640)/9 = 79<BR>\n" );
document.write( "711/9 = 79<BR>\n" );
document.write( "79 = 79<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );