document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459937>Question 459937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations<BR>\n" );
document.write( "8x + 4y = 8\r<BR>\n" );
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document.write( "-12x + 3y = 12\r<BR>\n" );
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document.write( "a) symbolically<BR>\n" );
document.write( "b) graphically<BR>\n" );
document.write( "c) numerically\r<BR>\n" );
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document.write( "Can someone assist me with this. I need to see how the solution was arrived at.\r<BR>\n" );
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document.write( "Thank you in advance for your assistance.\r<BR>\n" );
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document.write( "Devoted,\r<BR>\n" );
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document.write( "Minka. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #315441 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=315441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> : Solve the system of equations<BR>\n" );
document.write( " 8x + 4y = 8<BR>\n" );
document.write( "-12x + 3y = 12<BR>\n" );
document.write( ":<BR>\n" );
document.write( "multiply the the 1st equation by 1.5, use elimination here<BR>\n" );
document.write( "12x + 6y = 12<BR>\n" );
document.write( "-12x+ 3y = 12<BR>\n" );
document.write( "--------------adding eliminates x, find y<BR>\n" );
document.write( "9y = 24<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F9 ALIGN=MIDDLE  ALT=\"24%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3 ALIGN=MIDDLE  ALT=\"8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the 2nd equation to find x, replace y with 8/3<BR>\n" );
document.write( "-12x + 3(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3 ALIGN=MIDDLE  ALT=\"8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 12<BR>\n" );
document.write( "-12x + 8 = 12<BR>\n" );
document.write( "-12x = 12 - 8<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F-12 ALIGN=MIDDLE  ALT=\"4%2F-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "therefore solution is: x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3 ALIGN=MIDDLE  ALT=\"8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Is this symbolically or numerically? I don't know.<BR>\n" );
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document.write( "But graphically, put both equations in the slope/intercept form<BR>\n" );
document.write( " 8x + 4y = 8<BR>\n" );
document.write( "4y = -8x + 8<BR>\n" );
document.write( "Divide by 4<BR>\n" );
document.write( "y = -2x + 2; (red)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "-12x + 3y = 12<BR>\n" );
document.write( "3y = 12x + 12<BR>\n" );
document.write( "divide by 3<BR>\n" );
document.write( "y = 4x + 4, (green)<BR>\n" );
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document.write( "Graph these two equations, should look like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+4%2C+-4%2C+6%2C+-2x%2B2%2C+4x%2B4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+4%2C+-4%2C+6%2C+-2x%2B2%2C+4x%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Note the intersection is x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3 ALIGN=MIDDLE  ALT=\"8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Minka is a great name!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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