document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5232>Question 5232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system:\r<BR>\n" );
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document.write( "2x+3y=10<BR>\n" );
document.write( "-3x+2y=11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2646 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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/cgi-bin/show-face.mpl?user=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> in the Lesson section on this site, i have written explanations on how to solve such systems. Have a look there, to learn.\r<BR>\n" );
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document.write( "Here is your solution: I shall pick to make the x terms the same:\r<BR>\n" );
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document.write( "2x+3y=10 by x3<BR>\n" );
document.write( "-3x+2y=11 by x2\r<BR>\n" );
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document.write( " 6x+9y = 30<BR>\n" );
document.write( "-6x+4y = 22\r<BR>\n" );
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document.write( "Now add the 2 equations together to give 13y = 52. Next,\r<BR>\n" );
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document.write( "y = 52/13<BR>\n" );
document.write( "--> y = 4\r<BR>\n" );
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document.write( "so, now in 2x+3y = 10<BR>\n" );
document.write( "--> 2x + 3(4) = 10<BR>\n" );
document.write( "--> 2x + 12 = 10<BR>\n" );
document.write( "--> 2x = -2<BR>\n" );
document.write( "--> x = -1\r<BR>\n" );
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document.write( "Now check in other equation<BR>\n" );
document.write( "-3x+2y<BR>\n" );
document.write( "-3(-1) + 2(4)<BR>\n" );
document.write( "3 + 8<BR>\n" );
document.write( "11 --> which is the correct answer!\r<BR>\n" );
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document.write( "So, the solution is correct.\r<BR>\n" );
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document.write( "Jon. </SPAN>\n" );
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