document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119835>Question 119835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve this system of equations where 4x+3y=-2<BR>\n" );
document.write( "                                                5x+7y=17<BR>\n" );
document.write( "by using the elimination method? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87834 by </B><A HREF=/tutors/aboutme.mpl?userid=kjwade3><B>kjwade3(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kjwade3><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=87834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can solve this two ways.<BR>\n" );
document.write( "4x+3y=-2<BR>\n" );
document.write( "5x+7y=17\r<BR>\n" );
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document.write( "I am going to cancel or eliminate the x's. To do this multiply both problems by a number to get the x's the same, but one positive and one negative.<BR>\n" );
document.write( "5(4x+3y=-2)<BR>\n" );
document.write( "-4(5x+7y=17)<BR>\n" );
document.write( "You then get 20x+15y=-10<BR>\n" );
document.write( "             -20x-28y=-68<BR>\n" );
document.write( "You subtract or add and the x's cancel or eliminate.You get -13y=-78.You divide both sides by -13 and get y=6.To get the solution for x, you plug y=6 into the original problem.<BR>\n" );
document.write( "TO plug in 6, do the following<BR>\n" );
document.write( "4x+3(6)=-2 which gives you 4x+18=-2.<BR>\n" );
document.write( "You subtract 18 to both sides which gives you 4x=-20. YOu divide by 4 on both sides and get x=-5.\r<BR>\n" );
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document.write( "To plug in y=6 into 5x+7y=17, do the following.<BR>\n" );
document.write( "5x+7(6)=17 which gives you 5x+42=17.<BR>\n" );
document.write( "You subtract 42 from both sides and get 5x=-25.<BR>\n" );
document.write( "You divide both sides by 5 and get x=-5<BR>\n" );
document.write( "The answer is(-5,6).\r<BR>\n" );
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document.write( "THe other way to do the problems is to eliminate the y's.<BR>\n" );
document.write( "4x+3y=-2<BR>\n" );
document.write( "5x+7y=17\r<BR>\n" );
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document.write( "-7(4x+3y=-2)<BR>\n" );
document.write( "3(5x+7y=17)<BR>\n" );
document.write( "This gives you the following:<BR>\n" );
document.write( "-28x-21y=14<BR>\n" );
document.write( "15x+21y=51<BR>\n" );
document.write( "The y's cancel or eliminate and gives you -13x=65. You divide both sides by -13 and it gives you x=-5.<BR>\n" );
document.write( "Plug x=-5 back into either problem and get the solution for y. You shoud get the same answer as above which is (-5,6).<BR>\n" );
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