document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102924>Question 102924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each of the following systems by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.\r<BR>\n" );
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document.write( "10x+2y=7<BR>\n" );
document.write( "y=-5x+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74859 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Ax%2B2y=7 ALIGN=MIDDLE  ALT=\"10%2Ax%2B2y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-5%2Ax%2B3 ALIGN=MIDDLE  ALT=\"y=-5%2Ax%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use equation (2) and substitute into (1):<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-5%2Ax%2B3 ALIGN=MIDDLE  ALT=\"y=-5%2Ax%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ay=2%2A%28-5%2Ax%2B3%29 ALIGN=MIDDLE  ALT=\"2%2Ay=2%2A%28-5%2Ax%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ay=2%2A%28-5%2Ax%29%2B2%2A3 ALIGN=MIDDLE  ALT=\"2%2Ay=2%2A%28-5%2Ax%29%2B2%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distributive property.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ay=-10%2Ax%2B6 ALIGN=MIDDLE  ALT=\"2%2Ay=-10%2Ax%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ay%2B10%2Ax=cross%28-10%2Ax%29%2Bcross%2810%2Ax%29%2B6 ALIGN=MIDDLE  ALT=\"2%2Ay%2B10%2Ax=cross%28-10%2Ax%29%2Bcross%2810%2Ax%29%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Additive inverse of (-10*x).<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ay%2B10%2Ax=6 ALIGN=MIDDLE  ALT=\"2%2Ay%2B10%2Ax=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%282%2Ay%29-cross%282%2Ay%29%2B10%2Ax=6-2%2Ay ALIGN=MIDDLE  ALT=\"cross%282%2Ay%29-cross%282%2Ay%29%2B10%2Ax=6-2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >Additive inverse of (2*y).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Ax=6-2%2Ay ALIGN=MIDDLE  ALT=\"10%2Ax=6-2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >Simplify. <BR>\n" );
document.write( "Use this results in equation (1). <BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Ax%2B2y=7 ALIGN=MIDDLE  ALT=\"10%2Ax%2B2y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-cross%282%2Ay%29%2Bcross%282y%29=7 ALIGN=MIDDLE  ALT=\"6-cross%282%2Ay%29%2Bcross%282y%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=7 ALIGN=MIDDLE  ALT=\"6=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the equations lead to a false statement, they are inconsistent. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-2%2C+2%2C+-2%2C+2%2C+-5x%2B3%2C-5x%2B3.5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-2%2C+2%2C+-2%2C+2%2C+-5x%2B3%2C-5x%2B3.5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Looking at the graphs of both equations, you see that they have the same slope (parallel) and different intercepts. They will never meet (i.e. have a solution).  </SPAN>\n" );
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