document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72128>Question 72128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations using the substitution method.<BR>\n" );
document.write( "If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”<BR>\n" );
document.write( "-4x + y = 8<BR>\n" );
document.write( "2x + 3y = -1<BR>\n" );
document.write( "--------------------------------------------------------------------------------<BR>\n" );
document.write( "I tried doing it but got a really long decimal.<BR>\n" );
document.write( "-4x + y = 8<BR>\n" );
document.write( "2x + 3y = -1<BR>\n" );
document.write( "Y= 4x+8<BR>\n" );
document.write( "2x + 3(4x+8) = -1<BR>\n" );
document.write( "2x+ 12x +24 = -1<BR>\n" );
document.write( "14x + 24 -24 = -1 – 24<BR>\n" );
document.write( "14x= -25<BR>\n" );
document.write( "x= 1.785714286 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51547 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=51547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”<BR>\n" );
document.write( "-4x + y = 8<BR>\n" );
document.write( "2x + 3y = -1<BR>\n" );
document.write( "--------------------------------------------------------------------------------<BR>\n" );
document.write( "I tried doing it but got a really long decimal.<BR>\n" );
document.write( "-4x + y = 8<BR>\n" );
document.write( "2x + 3y = -1<BR>\n" );
document.write( "Y= 4x+8<BR>\n" );
document.write( "2x + 3(4x+8) = -1<BR>\n" );
document.write( "2x+ 12x +24 = -1<BR>\n" );
document.write( "14x + 24 -24 = -1 – 24<BR>\n" );
document.write( "14x= -25<BR>\n" );
document.write( "x= 1.785714286<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Everything you did is right, except it should be -1.7857...<BR>\n" );
document.write( ":<BR>\n" );
document.write( "To find y:<BR>\n" );
document.write( "2(-25/14) + 3y = -1<BR>\n" );
document.write( "-50/14 + 3y = -1<BR>\n" );
document.write( "3y = -1 + 50/14<BR>\n" );
document.write( "3y = -1 + 3.5714; using decimals<BR>\n" );
document.write( "3y = +2.5714<BR>\n" );
document.write( "y = 2.5714/3<BR>\n" );
document.write( "y = +.857 another annoying decimal<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check both solutions in the 1st equation<BR>\n" );
document.write( "-4x + y = 8<BR>\n" );
document.write( "-4(-1.7857) + (.857) =<BR>\n" );
document.write( "+7.1428 + .857 = 7.9998 ~ 8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You know what you're doing, they're just trying to intimidate you<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );