document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955710>Question 955710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the common solution of each by substitution and graph it.<BR>\n" );
document.write( "5x - 6y = -14<BR>\n" );
document.write( "2x +5y = 24 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583852 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=583852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Imagine you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28ax%2Bby=k%2Ccx%2Bdy=r%29 ALIGN=MIDDLE  ALT=\"system%28ax%2Bby=k%2Ccx%2Bdy=r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cx=r-dy ALIGN=MIDDLE  ALT=\"cx=r-dy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28r-dy%29%2Fc ALIGN=MIDDLE  ALT=\"x=%28r-dy%29%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substitute in the other equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28r-dy%29%2Fc%29%2Bby=k ALIGN=MIDDLE  ALT=\"a%28r-dy%29%2Fc%29%2Bby=k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ar-ady%29%2Fc%2Bby=k ALIGN=MIDDLE  ALT=\"%28ar-ady%29%2Fc%2Bby=k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ar%2Fc-ady%2Fc%2Bby=k ALIGN=MIDDLE  ALT=\"ar%2Fc-ady%2Fc%2Bby=k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-ady%2Bby=k-ar%2Fc ALIGN=MIDDLE  ALT=\"-ady%2Bby=k-ar%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-ad%2Bb%29=k-ar%2Fc ALIGN=MIDDLE  ALT=\"y%28-ad%2Bb%29=k-ar%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28b-ad%29=kc%2Fc-ar%2Fc ALIGN=MIDDLE  ALT=\"y%28b-ad%29=kc%2Fc-ar%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28b-ad%29=%28kc-ar%29%2Fc ALIGN=MIDDLE  ALT=\"y%28b-ad%29=%28kc-ar%29%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=%28kc-ar%29%2F%28c%28b-ad%29%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=%28kc-ar%29%2F%28c%28b-ad%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you go back to x=(r-dy)/c and substitute what you found for y and simplify.\r<BR>\n" );
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document.write( "That is just to show you most fundamentally what you can do and using purely all numbers as symbols.\r<BR>\n" );
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document.write( "Computing with the existing constants and coefficients might be easier or maybe not; but at least you see the method.\r<BR>\n" );
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document.write( "Your solution should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=2%2Cy=4%29 ALIGN=MIDDLE  ALT=\"system%28x=2%2Cy=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "As ordered pair,  (2,4).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C5x%2F6%2B7%2F3%2C-%282%2F5%29x%2B24%2F5%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C5x%2F6%2B7%2F3%2C-%282%2F5%29x%2B24%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can make the graph if first solve each equation for y in terms of x, and then use slopes and y-intercepts from the equations in slope-intercept form. </SPAN>\n" );
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