document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189289>Question 189289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve each system by the substitution method. Be sure to check all proposed solutions. \r<BR>\n" );
document.write( "\n" );
document.write( "-4x+y=-11<BR>\n" );
document.write( "2x-3y=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142009 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=142009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
document.write( "</pre><font size=4><b><BR>\n" );
document.write( "Given:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28-4x%2By=-11%28EQN1%29%2C2x-3y=5%28EQN2%29%29 ALIGN=MIDDLE  ALT=\"system%28-4x%2By=-11%28EQN1%29%2C2x-3y=5%28EQN2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Isolate \"y\" in EQN 1 ,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4x-11 ALIGN=MIDDLE  ALT=\"y=4x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, EQN 3 (subst. in EQN 2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3%28highlight%284x-11%29%29=5 ALIGN=MIDDLE  ALT=\"2x-3%28highlight%284x-11%29%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-12x%2B33=5 ALIGN=MIDDLE  ALT=\"2x-12x%2B33=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x=5-33 ALIGN=MIDDLE  ALT=\"-10x=5-33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x=-28 ALIGN=MIDDLE  ALT=\"-10x=-28\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28-10%29x%2Fcross%28-10%29=cross%28-28%292.8%2Fcross%28-10%29 ALIGN=MIDDLE  ALT=\"cross%28-10%29x%2Fcross%28-10%29=cross%28-28%292.8%2Fcross%28-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28x=2.8%29 ALIGN=MIDDLE  ALT=\"red%28x=2.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, subst. in EQN 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4%28highlight%282.8%29%29-11=11.2-11=red%280.2%29 ALIGN=MIDDLE  ALT=\"y=4%28highlight%282.8%29%29-11=11.2-11=red%280.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's check, subst. (x,y) = (2.8,0.20) in EQN 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%282.8%29%2B0.20=-11 ALIGN=MIDDLE  ALT=\"-4%282.8%29%2B0.20=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11.2%2B0.20=-11 ALIGN=MIDDLE  ALT=\"-11.2%2B0.20=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11=-11 ALIGN=MIDDLE  ALT=\"-11=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, good\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Subst. (x,y)=(2.8,0.20) in EQN 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%282.8%29-3%280.20%29=5 ALIGN=MIDDLE  ALT=\"2%282.8%29-3%280.20%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.6-0.60=5 ALIGN=MIDDLE  ALT=\"5.6-0.60=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=5 ALIGN=MIDDLE  ALT=\"5=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "These two lines intersect @ point <font color=blue>(2.8, 0.2)</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's see the graph,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-4%2C4%2C-4%2C4%2Cgraph%28400%2C400%2C-4%2C4%2C-4%2C4%2C4x-11%2C%282x-5%29%2F3%29%2Cblue%28circle%282.8%2C.2%2C.08%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ---><font color=red>RED, EQN 1</font>; <font color=green>GREEN, EQN 2</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );