document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=527061>Question 527061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations by addition method. <BR>\n" );
document.write( "3x-7y=10<BR>\n" );
document.write( "5x+2y=3   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348782 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=348782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x -7y = 10<BR>\n" );
document.write( "5x +2y = 3<BR>\n" );
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document.write( "Multiply the first equation by 2 and the second by 7, then add.<BR>\n" );
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document.write( "6x -14y = 20<BR>\n" );
document.write( "35x + 14y = 21<BR>\n" );
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document.write( "41x = 41<BR>\n" );
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document.write( "Divide both sides by 41.<BR>\n" );
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document.write( "x = 41<BR>\n" );
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document.write( "Ordinarily, you substitute at this point, but you can do another addition to find 'y'.<BR>\n" );
document.write( "Simply multiply the first equation by 5 and the second by 3, then subtract.<BR>\n" );
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document.write( "15x - 35y = 50<BR>\n" );
document.write( "15x + 6y = 9<BR>\n" );
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document.write( "-41y = 41<BR>\n" );
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document.write( "y = -1<BR>\n" );
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document.write( "To check, you can substitute these values to see if they produce the right answer.<BR>\n" );
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document.write( "3x - 7y = 10 ??<BR>\n" );
document.write( "3(1) -7(-1) = 10<BR>\n" );
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document.write( "5x + 2y = 3 ??<BR>\n" );
document.write( "5(1) +2(-1) = 3<BR>\n" );
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document.write( "Answer:  x=1, y = -1.  This answer may be shown as the ordered pair (1,-1).<BR>\n" );
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document.write( "If you were to graph the two equations, you would find they intersect there.<BR>\n" );
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document.write( "-7y = -3x + 10<BR>\n" );
document.write( "y = 3/7*x -10/7<BR>\n" );
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document.write( "2y = -5x +3<BR>\n" );
document.write( "y = -5/2*x + 3/2<BR>\n" );
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