document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75600>Question 75600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each of the following systems by substitution.\r<BR>\n" );
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document.write( "5x- 2y = -5<BR>\n" );
document.write( "     y-5x =3<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54268 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=54268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the 2nd equation for y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5x+=3 ALIGN=MIDDLE  ALT=\"y-5x+=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%2B5x ALIGN=MIDDLE  ALT=\"y=3%2B5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this into the y of the first equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-+2%2Ahighlight%28%283%2B5x%29%29+=+-5 ALIGN=MIDDLE  ALT=\"5x-+2%2Ahighlight%28%283%2B5x%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=5x-+6-10x+=+-5 ALIGN=MIDDLE  ALT=\"5x-+6-10x+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute the -2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x-6=-5 ALIGN=MIDDLE  ALT=\"-5x-6=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2Bcross%28-6%2B6%29=-5%2B6 ALIGN=MIDDLE  ALT=\"-5x%2Bcross%28-6%2B6%29=-5%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 6 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28-5%2F-5%29x=1%2F-5 ALIGN=MIDDLE  ALT=\"cross%28-5%2F-5%29x=1%2F-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-%281%2F5%29 ALIGN=MIDDLE  ALT=\"x=-%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now plug this in for x to solve for y in the 1st equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28-1%2F5%29-+2y+=+-5 ALIGN=MIDDLE  ALT=\"5%28-1%2F5%29-+2y+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=-1/5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1-2y=-5 ALIGN=MIDDLE  ALT=\"-1-2y=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y=-4 ALIGN=MIDDLE  ALT=\"-2y=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 1 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -2\r<BR>\n" );
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document.write( "So the solution is (-1/5,2)\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-+2y+=+-5 ALIGN=MIDDLE  ALT=\"5x-+2y+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5x+=3 ALIGN=MIDDLE  ALT=\"y-5x+=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug in (-1/5,2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28-1%2F5%29-+2%282%29+=+-5 ALIGN=MIDDLE  ALT=\"5%28-1%2F5%29-+2%282%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=2-5%28-1%2F5%29+=3 ALIGN=MIDDLE  ALT=\"2-5%28-1%2F5%29+=3\"   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=-1-4+=+-5 ALIGN=MIDDLE  ALT=\"-1-4+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B1+=3 ALIGN=MIDDLE  ALT=\"2%2B1+=3\"   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=-5+=+-5 ALIGN=MIDDLE  ALT=\"-5+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > works<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=3 ALIGN=MIDDLE  ALT=\"3+=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > works\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );