document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=412009>Question 412009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i have to write my own linear system problem for school and solve it by using elimination and substitution but when i tried solving it i got two different solutions<BR>\n" );
document.write( "the equations are y=1500+20x and y=3000+10x<BR>\n" );
document.write( "when i used substitution i got (150,4500)and with elimination i got (-300,-4500)<BR>\n" );
document.write( "is that correct or wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289458 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We'll do it both ways here...<BR>\n" );
document.write( "Substitution method:<BR>\n" );
document.write( "y=1500+20x<BR>\n" );
document.write( "y=3000+10x<BR>\n" );
document.write( ".<BR>\n" );
document.write( "1500+20x=3000+10x<BR>\n" );
document.write( "1500+10x=3000<BR>\n" );
document.write( "10x=1500<BR>\n" );
document.write( "x = 150<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y=1500+20x<BR>\n" );
document.write( "y=1500+20(150)<BR>\n" );
document.write( "y=1500+3000<BR>\n" );
document.write( "y=4500<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Applying the elimination method to:<BR>\n" );
document.write( "y=1500+20x<BR>\n" );
document.write( "y=3000+10x<BR>\n" );
document.write( ".<BR>\n" );
document.write( "moving the x's to the left:<BR>\n" );
document.write( "y-20x=1500<BR>\n" );
document.write( "y-10x=3000<BR>\n" );
document.write( ".<BR>\n" );
document.write( "multiply the bottom equation by -1 to get add both together:<BR>\n" );
document.write( " y-20x=1500<BR>\n" );
document.write( "-y+10x=-3000<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "-10x = -1500<BR>\n" );
document.write( "x = 150<BR>\n" );
document.write( ".<BR>\n" );
document.write( "substitute into top equation to find y:<BR>\n" );
document.write( "y=1500+20x<BR>\n" );
document.write( "y=1500+20(150)<BR>\n" );
document.write( "y=1500+3000<BR>\n" );
document.write( "y=4500\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );