document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41938>Question 41938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I AM A PARENT TRYING TO HELP MY DAUGHTER DO THIS PROBLEMS I NEVER HAD THIS MAYBE YOU COULD SHOW ME HOW SO I CAN HELP HER.\r<BR>\n" );
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document.write( "SOLVE LINER COMBINATION TO SOLVE THE SYSTEM\r<BR>\n" );
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document.write( "2X -3Y = -16<BR>\n" );
document.write( "X + 3Y = 10\r<BR>\n" );
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document.write( "3X + Y = -8 <BR>\n" );
document.write( "-3 + 4Y = -2\r<BR>\n" );
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document.write( "2X-Y = 1<BR>\n" );
document.write( "2X + 5Y = -5\r<BR>\n" );
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document.write( "THIS SAY USE ANY METHOD TO SOLVE\r<BR>\n" );
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document.write( "-2X + 3Y = 14<BR>\n" );
document.write( "X-4Y = -12\r<BR>\n" );
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document.write( "IT BEEN A LONG TIME I DON'T EVEN REMEMBER HAVING THIS </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27079 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay, let me show you...the idea of linear combination is to combine equations in such a way (by adding or subtracting them) that eliminates one of the variables...by example...we can add these equations<BR>\n" );
document.write( "2X -3Y = -16<BR>\n" );
document.write( "X + 3Y = 10<BR>\n" );
document.write( "and get<BR>\n" );
document.write( "3X = -6<BR>\n" );
document.write( "and X = -2<BR>\n" );
document.write( "Notice how the 3Y and -3Y cancelled each other out when we added them...<BR>\n" );
document.write( "From this X = -2, we plug in to either equation to find Y = 4<BR>\n" );
document.write( "Second one...same thing...<BR>\n" );
document.write( "3X + Y = -8 <BR>\n" );
document.write( "-3X + 4Y = -2<BR>\n" );
document.write( "we add them to get<BR>\n" );
document.write( "5Y = -10<BR>\n" );
document.write( "and Y = -2...plug in and get X = -2 <BR>\n" );
document.write( "On the third one we subtract equations because if we added them, nothing would cancel...<BR>\n" );
document.write( "2X - Y = 1<BR>\n" );
document.write( "-(2X + 5Y = -5)<BR>\n" );
document.write( "and get<BR>\n" );
document.write( "-6Y = 6 and<BR>\n" );
document.write( "Y = -1 and thus X = 0<BR>\n" );
document.write( "The last one is a bit more complicated s you have to multiply the bottom equation by two before adding them, so from<BR>\n" );
document.write( "-2X + 3Y = 14<BR>\n" );
document.write( "X - 4Y = -12<BR>\n" );
document.write( "we have<BR>\n" );
document.write( "-2X + 3Y = 14<BR>\n" );
document.write( "2X - 8Y = -24<BR>\n" );
document.write( "and we add giving us<BR>\n" );
document.write( "-5Y = -10<BR>\n" );
document.write( "Y = 2 and x = -4<BR>\n" );
document.write( "I have five kids of my own...I know how you feel...<BR>\n" );
document.write( "Buy me a beer next time you see me... </SPAN>\n" );
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