document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192871>Question 192871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and interpret the result.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144766 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=144766\">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( "EQN1 : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+-+6y+=+12+ ALIGN=MIDDLE  ALT=\"4x+-+6y+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Let us find the intercepts.<BR>\n" );
document.write( "Let Fy=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-6%280%29=12 ALIGN=MIDDLE  ALT=\"4x-6%280%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%284%29x%2Fcross%284%29=cross%2812%293%2Fcross%284%291 ALIGN=MIDDLE  ALT=\"cross%284%29x%2Fcross%284%29=cross%2812%293%2Fcross%284%291\"   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=3%29 ALIGN=MIDDLE  ALT=\"red%28x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, X-Intercept<BR>\n" );
document.write( "Let Fx=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%280%29-6y=12 ALIGN=MIDDLE  ALT=\"4%280%29-6y=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28-6%29y%2Fcross%28-6%29=cross%2812%292%2Fcross%28-6%291 ALIGN=MIDDLE  ALT=\"cross%28-6%29y%2Fcross%28-6%29=cross%2812%292%2Fcross%28-6%291\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28y=-2%29 ALIGN=MIDDLE  ALT=\"red%28y=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Y-Intercept\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Confirming to Slope-Intercept Form,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"system%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-6y=12 ALIGN=MIDDLE  ALT=\"4x-6y=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-12=6y ALIGN=MIDDLE  ALT=\"4x-12=6y\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-12%29%2F6=cross%286%29y%2Fcross%286%29 ALIGN=MIDDLE  ALT=\"%284x-12%29%2F6=cross%286%29y%2Fcross%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%284%2F6%29x-12%2F6 ALIGN=MIDDLE  ALT=\"y=%284%2F6%29x-12%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28y=%282%2F3%29x-2%29 ALIGN=MIDDLE  ALT=\"red%28y=%282%2F3%29x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We see graph,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C7%2C-7%2C7%2Cgraph%28400%2C400%2C-7%2C7%2C-7%2C7%2C%282%2F3%29x-2%29%2Cblue%28circle%283%2C0%2C.12%29%29%2Cblue%28circle%280%2C-2%2C.12%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ----> The Line 4x-6y=12 passes thru point (3,0), X-Intercept and point (0,-2), Y-Intercept.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "EQN 2 : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+5y+=+10+ ALIGN=MIDDLE  ALT=\"x+-+5y+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Finding the Intercepts:<BR>\n" );
document.write( "Let Fy=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5%280%29=10 ALIGN=MIDDLE  ALT=\"x-5%280%29=10\"   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=10%29 ALIGN=MIDDLE  ALT=\"red%28x=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let Fx=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-5y=10 ALIGN=MIDDLE  ALT=\"0-5y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28-5%29y%2Fcross%28-5%29=cross%2810%292%2Fcross%28-5%291 ALIGN=MIDDLE  ALT=\"cross%28-5%29y%2Fcross%28-5%29=cross%2810%292%2Fcross%28-5%291\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28y=-2%29 ALIGN=MIDDLE  ALT=\"red%28y=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Confirming to Slope-Intercept Form,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"system%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5y=10 ALIGN=MIDDLE  ALT=\"x-5y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-10=5y ALIGN=MIDDLE  ALT=\"x-10=5y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-10%29%2F5=cross%285%29y%2Fcross%285%29 ALIGN=MIDDLE  ALT=\"%28x-10%29%2F5=cross%285%29y%2Fcross%285%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%28y=%281%2F5%29x-10%2F5=%281%2F5%29x-2%29 ALIGN=MIDDLE  ALT=\"red%28y=%281%2F5%29x-10%2F5=%281%2F5%29x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We see graph,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-5%2C15%2C-5%2C5%2Cgraph%28400%2C400%2C-5%2C15%2C-5%2C5%2C%281%2F5%29x-2%29%2Cblue%28circle%2810%2C0%2C.16%29%29%2Cblue%28circle%280%2C-2%2C.16%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ----> Line x-5y=10 passes thru point (10,0),X-Intercept, and point (0,-2), Y-Intercept.\r<BR>\n" );
document.write( "<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" );