document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181023>Question 181023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations using substitution. <BR>\n" );
document.write( "  6x + y = 11<BR>\n" );
document.write( "  -6x -8y = -14<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "The solution is _____ <BR>\n" );
document.write( "(Type an ordered pair. Type N if there is no solution. Type I if there are infinitely many solutions.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135716 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=135716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations using substitution.<BR>\n" );
document.write( "6x + y = 11<BR>\n" );
document.write( "-6x -8y = -14<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the 1st equation as the substitute, subtract 6x from both sides:<BR>\n" );
document.write( "y = -6x + 11<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Substitute (-6x+11) for y in the 2nd equation:<BR>\n" );
document.write( "-6x - 8(-6x + 11) = -14<BR>\n" );
document.write( "Multiply what's inside brackets, neg changes the signs:<BR>\n" );
document.write( "-6x + 48x - 88 = -14<BR>\n" );
document.write( "42x = -14 + 88; added 88 to both sides<BR>\n" );
document.write( "42x = 74<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=74%2F42 ALIGN=MIDDLE  ALT=\"74%2F42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "reduces to:<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2F21 ALIGN=MIDDLE  ALT=\"37%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find y:<BR>\n" );
document.write( "y = -6x + 11<BR>\n" );
document.write( "y = -6(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2F21 ALIGN=MIDDLE  ALT=\"37%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + 11<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-222%2F21 ALIGN=MIDDLE  ALT=\"-222%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=231%2F21 ALIGN=MIDDLE  ALT=\"231%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F21 ALIGN=MIDDLE  ALT=\"9%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "reduces to<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution it 2nd equation:<BR>\n" );
document.write( "-6x - 8y = -14<BR>\n" );
document.write( "-6(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2F21 ALIGN=MIDDLE  ALT=\"37%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - 8(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = <BR>\n" );
document.write( "-6(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2F21 ALIGN=MIDDLE  ALT=\"37%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - 8(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F21 ALIGN=MIDDLE  ALT=\"9%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-222%2F21 ALIGN=MIDDLE  ALT=\"-222%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%2F21 ALIGN=MIDDLE  ALT=\"72%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-294%2F21 ALIGN=MIDDLE  ALT=\"-294%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -14, confirms our solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I thought you could see the ordered pair is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2F21 ALIGN=MIDDLE  ALT=\"37%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "No mention of a graph however if you graph these equations:<BR>\n" );
document.write( "y = -6x + 11<BR>\n" );
document.write( "and<BR>\n" );
document.write( "-6x -8y = -14<BR>\n" );
document.write( "6x + 8y = 14; multiply equation by -1<BR>\n" );
document.write( "8y = -6x + 14<BR>\n" );
document.write( "y = -.75x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F8 ALIGN=MIDDLE  ALT=\"14%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+4%2C+-4%2C+4%2C+-6x%2B11%2C-.75x%2B%2814%2F8%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+4%2C+-4%2C+4%2C+-6x%2B11%2C-.75x%2B%2814%2F8%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );